Fractions, Decimals and Percents

Keep up the great work!

FractionThe number of ______ of a _________.

Example: ¾ = (three parts out of 4)

DecimalA number expressed using units of _______.

PercentParts per ______, or written in terms of ______.

Equivalent Forms

Conversions

Fraction½

Decimal0.50

Percent50%

Decimal to PercentMove the decimal two places to the right. (Multiply by 100)

0.45 = = 45%0.1 = = 10%0.05 = = 5%

Let’s PracticeChange 0.128 into a percent.

A) 128% C) 1.28%B ) 12.8% D) 0.128%

One MoreChange 0.8 into a percent.

A) 800% C) 80%B ) 0.8% D) 8%

Percent to DecimalMove the decimal two places to the left. (Divide by 100)

32% = = 0.327% = = 0.0720% = = 0.2

Let’s PracticeChange 60% into a decimal.

A) 60 C) 0.06B ) 6.0 D) 0.6

AnotherChange 15.5% into a decimal.

A) 0.155 C) 15.5B ) 1.55 D) 155

Fraction to DecimalDivide the numerator by the denominator• ¾ = 3 divided by 4 = 0.75• REMEMBER: Knock over the fraction and divide!

Another ExampleChange the following fractions to decimals.

1/5 = 0.2

2/3 = 0.666

Let’s PracticeChange 3/5 into a decimal.

A) 3.5 C) 35.0B ) 6.0 D) 0.6

One MoreChange 1/8 into a decimal.

A) 125 C) 0.18B ) 1.8 D) 0.125

Fraction to PercentDivide the numerator by the

denominator and change the decimal to a percent.

¾ = 3 divided by 4 = 0.75 x 100 = 75%

Another ExampleChange the following fractions to percents.

4/9 = 44.4%

3/8 = 37.5%

Let’s PracticeChange 2/5 into a percent.

A) 2.5% C) 0.40%B ) 40% D) 25%

One MoreChange 1/8 into a percent.

A) 12.5% C) 18%B ) 125% D) 1.8%

Homework

Percent to FractionStep 1: Write the percent over 100.Step 2: Simplify.

ExampleChange 35% into a fraction in simplest form.

Let’s PracticeChange 42% into a fraction in simplest form.A.42/50B.4/2C.1/42D.21/50

One MoreChange 10% into a fraction in simplest form.A.1/10B.1/5C.10/1D.5/50

Decimal to FractionStep 1: Write your decimal over the number 1 (as a fraction)

Step 2: Count how many numbers are after the decimalStep 3: Add that many zeros after the number 1.Step 4: Multiply the numerator and denominator by your

new number (multiple of 10).Step 5: Simplify.

Let’s TryChange 0.12 into a fraction.

ExampleChange 0.625 into a fraction in simplest form.

Another ExampleChange 5.6 into a fraction in simplest form.

Let’s PracticeChange 0.54 into a fraction in simplest form.A.27/50B.54/1C.1/54D.54/100

One MoreChange 0.375 into a fraction in simplest form.A. 375/1000B.3/8C. 1/375D.2/9