fractions decimals percents shelby blackwood. the student will be able to convert fractions,...
TRANSCRIPT
![Page 1: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/1.jpg)
FRACTIONSDECIMALSPERCENTS
Shelby Blackwood
![Page 2: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/2.jpg)
The student will be able to convert fractions, decimals,
and percentages.
This lesson will meet the following standards for Oklahoma 6th grade
mathematics curriculum:
PASS – Strand 2N, Standard 2.1 Number Sense: Convert compare, and order decimals, fractions, and percents using a variety of methods.
Common Core – RP.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole given a part and the percent. Shelby
Blackwood
![Page 3: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/3.jpg)
Decimals, fractions, and percentages are just
different ways of showing the same value.
The following presentation will show you different procedures to convert these
numbers.Shelby Blackwood
*Source: www.mathisfun.com
![Page 4: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/4.jpg)
How to change fractions to decimalsMethod 1-Use a proportion
Step 1 – Rename the fraction as an equivalent fraction with 100 as the denominator. We can multiply 5 by 20 to get 100. You must multiply the numerator by 20 also.
1 x 20 20 5 x 20 100
=
Shelby Blackwood
![Page 5: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/5.jpg)
Method 1-Use a proportion
(continued)
Step 2 – 20/100 is 20 divided by 100. A quick way to divide by 100 is to move the decimal two places from the right. Write the numerator with two decimal places from the right.
So, 1/5 = .20 or .2 as a decimal!
= .2020100
= .20
Shelby Blackwood
![Page 6: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/6.jpg)
Easy, right? But there’s a problem.
What do you do when you have a fraction, such as 1/7, that has a
denominator that is not a factor of 100?
You would use the long division method.
It will always work!Shelby Blackwood
![Page 7: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/7.jpg)
How to change fractions to decimals
Step 1 – First, you should realize that 1/7 is the same thing as 1 divided by 7. In order to change this fraction to a decimal, you will use division. Follow the algorithm on the next slide.
Shelby Blackwood
Method 2- Use a long division algorithm
![Page 8: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/8.jpg)
17
Step 1 –7 will not go into 1, so add a decimal and a 0 to the right of the 1
.0 Step 2 –Bring the decimal straight up
.
Step 3 –Divide 7 into 10. It goes 1 time, so place a 1 above the 0
1
Step 4 –Multiply 1 times 7 and subtract it from 10.
7 3
Step 5 –You get 3. Seven will not go into 3, so you can add another 0 and bring it down. Shelby
Blackwood
0
0
![Page 9: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/9.jpg)
Step 6 –Now divide 7 into 30. It will go 4 times, so place a 4 next to the one. 17 .0
.1
7 3
0
0
4
Step 7 – 7 times 4 is 28, so place the 28 under the 30 and subtract. You get 2.
2 82
Step 8 –Add another 0 to the dividend and bring it down.
0
0 Step 9 – Divide 7 into 20. It will go 2 times, so place a 2 next to the 4 and multiply 2 times 7. Place 14 under the 20 and subtract. You get 6.
1 4
2
6Shelby Blackwood
![Page 10: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/10.jpg)
Step 10 –You can stop here. This is a non-terminating, non-repeating decimal and would go on forever. 17 .0
.1
7 3
0
0
4
2 82
0
01 4
2
6
Step 11 –Since it is a non-terminating, non-repeating decimal, we will round it to two decimal places to get an approximate value.
Shelby Blackwood
The result would be .14, so 1/7 is
approximately .14 as a decimal.
![Page 11: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/11.jpg)
How to change fractions to a percent
Step 1 – After changing 1/5 to a decimal, .20, you will multiply by 100 to change it to a percent.
.20 x 100 = 20%shortcut: when multiplying by 100, you move the decimal two places to the right
1/5 = .20 = 20%Shelby Blackwood
![Page 12: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/12.jpg)
Resource Page
Follow these links for more help changing fractions to decimals and
percents.http://www.youtube.com/watch?v=VlqhVldVces
http://www.mathplayground.com/howto_perfracdec.html
http://www.quia.com/cb/34887.html
When you are ready to practice what you’ve learned, follow this link to play a
Jeopardy! game using fractions, decimals, and percents.
Shelby Blackwood
![Page 13: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/13.jpg)
Why Convert Decimals to Percents
One use for decimals is in working with percents, which are commonplace in everyday life: •Discounts on Sale Items•Counting Money, ETC.
The word percent means per one hundred.
The symbol % is used for percent.
The % symbol can be traded for a factor of 100.A factor of 100 can be traded for a % symbol.This simple idea is the key to success with percents.
Jessica Thompson
![Page 14: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/14.jpg)
How to Change Decimals to Percents
Jessica Thompson
From Decimal To Percent
move the decimal point 2 places to the right, and add the "%" sign.
To convert from decimal to percent: multiply by 100, and add a "%" sign.
The easiest way to multiply by 100 is to move the decimal point 2 places to the right. So:
![Page 15: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/15.jpg)
Converting Decimals to Percents is as Easy as Sliding the Decimal 2 Places to
the Right and Adding a % SignIt must be noted that “Sliding the Decimal” is only allowed
because it is the same as multiplying the original number by 100.
WWW.KHANACADEMY.COM Web Linkhttp://s3.amazonaws.com/KA-youtube-converted/
5z568fLBQyQ.mp4/5z568fLBQyQ.mp4
EXAMPLES:
0.25 = 25%3.75 = 375%7.0683 = 706.83%
Here's the idea that makes this work:
0.25 = 25/100 = 25 x 1/100 = .25%
Notice that the 1/100 gets traded in for the percent symbol.
Jessica Thompson
![Page 16: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/16.jpg)
http://www.aaastudy.com/dec71dx2.htm
Websites to Practice Converting Decimals to Percents
http://www.math-play.com/Decimals-and-Percents/Decimals-and-Percents.html
http://s3.amazonaws.com/KA-youtube-converted/5z568fLBQyQ.mp4/5z568fLBQyQ.mp4
Video Link to Khan Academy to Learn How to Convert Decimals to Percents
Jessica Thompson
![Page 17: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/17.jpg)
How to Change Decimals to Fractions
Jessica Thompson
Step 1: Write down the decimal divided by 1, like this: decimal/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify/Reduce the fraction
To Convert a Decimal to a Fraction Follow These Steps:
![Page 18: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/18.jpg)
Example: Express 0.75 as a fraction
Step 1: Write down 0.75 divided by 1:
0.75 1
Step 2: Multiply both top and bottom by 100 (there were 2 digits after the decimal point so that is 10×10=100):
× 100
0.75 =
75 1 100
× 100
(Do you see how it turns the top number into a whole number?)
Jessica Thompson
![Page 19: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/19.jpg)
Step 3: Simplify the fraction (this took me two steps):
÷5 ÷ 5
75
= 15
= 3
100 20 4
÷5 ÷ 5
Answer = 3/4
Note: 75/100 is called a decimal fraction and 3/4 is called a common fraction
Jessica Thompson
![Page 20: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/20.jpg)
Jessica Thompson
Example: Express 0.333 as a fraction
Step 1: Write down:
0.333 1
Step 2: Multiply both top and bottom by 1,000 (there were 3 digits after the decimal point so that is 10×10×10=1,000)
333 1,000
Step 3: Simplify Fraction:
Can't get any simpler!
Answer = 333/1,000
![Page 21: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/21.jpg)
Jessica Thompson
Websites to Practice Converting Decimals to Fractions
Video Link to Khan Academy to Learn How to Convert Decimals to Percents
http://www.mathplayground.com/percent04.html
http://www.aaastudy.com/fra71bx2.htm
http://www.khanacademy.org/math/arithmetic/decimals/v/converting-decimals-to-fractions-1--ex-1
![Page 22: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/22.jpg)
Converting Percents to
Fractions and Decimals
Jill Porter
![Page 23: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/23.jpg)
Things to remember when converting a percent to a fraction
• The % Sign means (Per 100) Ex. 25% is 25/100
• When converting a percent to a fraction fractions must always be reduced to lowest terms.
25 /25 = 1 100 /25 = 4
• So the reduced version of 25/100 is 1/4
Jill Porter
![Page 24: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/24.jpg)
Example Problems
15% 15 /5 = 3 27% _ 27100 / 5 = 20 100
NOTE nothing will go 22% 22 /2 = 11 into both 27 and 100 100 /2 = 50 evenly so 27/100 is
lowest terms
60% 60 /20 = 3 75% _75 /25 = 3 100/20 = 5 100 /25 = 4
Jill Porter
![Page 25: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/25.jpg)
Working with Percentages that include decimals
• When you have a Percent that includes a decimal you must get rid of the decimal before you can convert the percent into a fraction.
• Move decimal to the right until it is at the end of the number.
• If there is one decimal place this would be the same as multiplying by 10
• Remember if you multiply the numerator by 10 you must multiply the denominator by 10 as well
Jill Porter
![Page 26: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/26.jpg)
Example Problems
5.5% 5.5 X 10 = __55 /5 = 11 100.0 X 10 = 1000 /5 = 200
25.5% 25.5 X 10 = 255 /5 =_ 51 100.0 X 10 = 1000/5 = 200
85.5% 85.5 X 10 = 855 /5 = 171 100.0 X 10 =1000/5 = 200
Jill Porter
![Page 27: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/27.jpg)
Things to Remember When Converting Percents to Decimals
• Percent means per 100• So to change a number from a percent
into a decimal just remove the percent sign and divide by 100
37% 37/100 = 0.37• Simply move the decimal two places to
the left • Repeat same process even if the
percent has a decimal in it such as 8.5%
Jill Porter
![Page 28: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/28.jpg)
Example Problems
5% 5/100 = 0.05 15.3% 15.3/100 = 0.153
25% 25/100 = 0.25 50.7% 50.7/100 = 0.507
Practice moving decimal places 2 spaces to the left
77% 77. = 0.77 83% 83. = 0.83 115% 115. = 1.15
Jill Porter
![Page 29: FRACTIONS DECIMALS PERCENTS Shelby Blackwood. The student will be able to convert fractions, decimals, and percentages. This lesson will meet the following](https://reader034.vdocuments.site/reader034/viewer/2022051619/56649dbf5503460f94ab4055/html5/thumbnails/29.jpg)
Resource page
For extra explanations and practice you can visit http://www.youtube.com/watch?v=04eEAxkc4bk
http://www.math-salamanders.com/convert-percent-to-fraction.html
Jill Porter