copyright ed2netlearning, inc 1 review. review copyright ed2netlearning, inc2 objectives rounding...

$: Copyright Ed2NetLearning, Inc 1 REVIEW. REVIEW Copyright Ed2NetLearning, Inc2 Objectives Rounding the fractions to the nearest half or to a whole number$
Copyright Ed2NetLearning, IncCopyright Ed2NetLearning, Inc 11

REVIEWREVIEW


REVIEW

Objectives Objectives Rounding the fractions to the nearest Rounding the fractions to the nearest

half or to a whole numberhalf or to a whole number Estimating sums and differencesEstimating sums and differences Adding and subtractions with like Adding and subtractions with like

denominatorsdenominators Adding and subtracting fractions with Adding and subtracting fractions with

unlike denominatorsunlike denominators Adding and subtracting mixed numbersAdding and subtracting mixed numbers Subtracting mixed numbers with Subtracting mixed numbers with

renamingrenaming


REVIEW

Rounding Fractions & Mixed Rounding Fractions & Mixed NumbersNumbers

Round Up: If the numerator is almost as Round Up: If the numerator is almost as large as the denominator, round the large as the denominator, round the number up to the next whole number.number up to the next whole number.

Round to ½ : If the numerator is about Round to ½ : If the numerator is about half of the denominator, round the half of the denominator, round the fraction to ½ . fraction to ½ .

Round down: If the numerator is much Round down: If the numerator is much smaller than the denominator, round the smaller than the denominator, round the number down to the whole number. number down to the whole number.


REVIEW

Examples Examples

Round the numbers:Round the numbers:

1.1. 5/65/6 = 1, since 5 is almost large as 6.= 1, since 5 is almost large as 6.

2.2. 1/3 1/3 = ½ , since 1 is about half of 3= ½ , since 1 is about half of 3

3.3. 2/92/9 = 0, since 2 is much smaller than = 0, since 2 is much smaller than 9.9.


REVIEW

Assignments Assignments Round each number :Round each number :

1.1. 4/54/5

2.2. 4 1/3 4 1/3

3.3. 6 7/156 7/15

4.4. 13/2013/20

5.5. 9 1/99 1/9


REVIEW

Estimating Sums and Estimating Sums and DifferencesDifferences

We can estimate sums and differences We can estimate sums and differences by rounding each fraction to the by rounding each fraction to the nearest half. Then add or subtract. nearest half. Then add or subtract.

We can estimate sums and differences We can estimate sums and differences of mixed numbers by rounding each of mixed numbers by rounding each number to the nearest whole number.number to the nearest whole number.


REVIEW

Examples Examples 1. Estimate 7/8 + 11/12 1. Estimate 7/8 + 11/12

7/8 rounds to 1 ; 11/12 rounds to 17/8 rounds to 1 ; 11/12 rounds to 1

7/8 + 11/12 = 1 + 1 = 27/8 + 11/12 = 1 + 1 = 2

2. Estimate 5/12 – 1/62. Estimate 5/12 – 1/6

5/12 rounds to ½ ; 1/6 rounds to 05/12 rounds to ½ ; 1/6 rounds to 0

5/12 – 1/6 = ½ - 0 = ½ 5/12 – 1/6 = ½ - 0 = ½


REVIEW

Practice ProblemsPractice Problems Estimate Estimate

1.1. ¾ + ½ ¾ + ½

2.2. 7/8 – ¼ 7/8 – ¼

3.3. 5/6 – 4/95/6 – 4/9

4.4. 9/10 + 8/99/10 + 8/9

5.5. 13/14 – 7/1613/14 – 7/16


REVIEW

Mixed Number Sum and Mixed Number Sum and DifferenceDifference

Estimate 4 5/6 + 2 1/5Estimate 4 5/6 + 2 1/5

4 5/6 rounds to 4 + 1 = 5 and4 5/6 rounds to 4 + 1 = 5 and

2 1/5 rounds to 2 + 0 = 22 1/5 rounds to 2 + 0 = 2

4 5/6 + 2 1/5 = 5 + 2 = 74 5/6 + 2 1/5 = 5 + 2 = 7

2. Estimate 3 2/3 – 1 7/8 2. Estimate 3 2/3 – 1 7/8

3 2/3 rounds to 4 and 1 7/8 rounds to 23 2/3 rounds to 4 and 1 7/8 rounds to 2

3 2/3 – 1 7/8 = 4 – 2 = 23 2/3 – 1 7/8 = 4 – 2 = 2


REVIEW

Practice ProblemsPractice ProblemsEstimate Estimate

1.1. 3 1/9 – 1 6/73 1/9 – 1 6/7

2.2. 9 3/8 – 2 4/59 3/8 – 2 4/5

3.3. 6 7/12 – 2 ¼ 6 7/12 – 2 ¼

4.4. 1/9 + 2 9/101/9 + 2 9/10

5.5. 4 9/10 + 1 2/94 9/10 + 1 2/9


REVIEW


REVIEW

Adding and Subtracting Fractions Adding and Subtracting Fractions with Like Denominatorswith Like Denominators

To add fractions with the same To add fractions with the same denominators, add the numerators. Use denominators, add the numerators. Use the same denominator in the sum.the same denominator in the sum.

To subtract fractions with the same To subtract fractions with the same denominators, subtract the numerators. denominators, subtract the numerators. Use the same denominator in the Use the same denominator in the difference.difference.


REVIEW

Examples Examples

Add or Subtract: Write in the simplest Add or Subtract: Write in the simplest formform

1.1. 5/12 + 6/12 = (5 + 6)/12 = 11/125/12 + 6/12 = (5 + 6)/12 = 11/12

2.2. 11/12 – 3/12 = (11 – 3)/12 = 8/12 = 11/12 – 3/12 = (11 – 3)/12 = 8/12 = 2/32/3

3.3. 6/7 – 4/76/7 – 4/7 == 2/72/7

4.4. ¾ + ¼¾ + ¼ = = 4/44/4 == 11


REVIEW

Practice ProblemsPractice ProblemsAdd or Subtract. Write in simplest form.Add or Subtract. Write in simplest form.

1.1. 3/8 + 1/83/8 + 1/8

2.2. 2/9 + 4/92/9 + 4/9

3.3. 3/10 – 1/103/10 – 1/10

4.4. 7/9 + 2/97/9 + 2/9

5.5. 5/6 + 5/6 5/6 + 5/6

6.6. 3/10 – 1/10 3/10 – 1/10

7.7. 7/11 – 5/117/11 – 5/11


REVIEW

Word ProblemsWord Problems Terrance ate 4/12 of a large pizza, and Terrance ate 4/12 of a large pizza, and

Sam ate 5/12. how much of the pizza Sam ate 5/12. how much of the pizza did they eat in all ? did they eat in all ?

4/12 + 5/12 = 9/12 = ¾4/12 + 5/12 = 9/12 = ¾ About 3/10 of the Earth’s surface is About 3/10 of the Earth’s surface is

land. The rest is covered by water. How land. The rest is covered by water. How much of the earth is covered by water?much of the earth is covered by water?

1 – 3/10 1 – 3/10 == 10/10 – 3/10 = 7/10. 10/10 – 3/10 = 7/10.


REVIEW

Now your turnNow your turn A recipe calls for 2/3 cup of water, 1/3 A recipe calls for 2/3 cup of water, 1/3

cup oil, and 1/3 cup milk. How much cup oil, and 1/3 cup milk. How much liquid is used in the recipe?liquid is used in the recipe?

Total rainfall for the whole week was Total rainfall for the whole week was 7/12 inch. The rainfall for Wednesday 7/12 inch. The rainfall for Wednesday through Monday was 3/12. how much through Monday was 3/12. how much rain fell on Sunday?rain fell on Sunday?


REVIEW

Adding and Subtracting Fractions Adding and Subtracting Fractions with Unlike Denominatorswith Unlike Denominators

To find the sum or difference of two To find the sum or difference of two fractions with unlike denominators, fractions with unlike denominators, rename the fractions using the least rename the fractions using the least common denominator (LCD). Then add common denominator (LCD). Then add or subtract and simplify. or subtract and simplify.


REVIEW

Examples Examples Add or Subtract. Write in simplest form.Add or Subtract. Write in simplest form.

1.1. ½ + 2/3 ½ + 2/3

LCD of 2 and 3 = 6LCD of 2 and 3 = 6

½ = ½ = 1 x 3 1 x 3 = = 3 3 ; 2/3 = ; 2/3 = 2 x 2 2 x 2 = = 4 4

2 x 3 6 3 x 2 62 x 3 6 3 x 2 6

½ + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6.½ + 2/3 = 3/6 + 4/6 = 7/6 = 1 1/6.

2.2. 7/9 – 1/67/9 – 1/6

LCD of 9 and 6 = 18LCD of 9 and 6 = 18

7/9 = 7/9 = 7 x 2 7 x 2 = = 14 14 ; 1/6 = ; 1/6 = 1 x 3 1 x 3 = = 3 3

9 x 2 18 6 x 3 189 x 2 18 6 x 3 18

7/9 – 1/6 = 14/18 – 3/18 = 11/18.7/9 – 1/6 = 14/18 – 3/18 = 11/18.


REVIEW

PRACTICE PROBLEMSPRACTICE PROBLEMSAdd or Subtract. Write in simplest form.Add or Subtract. Write in simplest form.

1.1. 5/8 + ¼ 5/8 + ¼

2.2. 7/9 – 1/127/9 – 1/12

3.3. ¾ + 5/6¾ + 5/6

4.4. 9/10 – ¼ 9/10 – ¼

5.5. 4/5 + 2/104/5 + 2/10


REVIEW

Let’s solve this puzzle.Let’s solve this puzzle. //www.thekidzpage.com/onlinejigsawpu//www.thekidzpage.com/onlinejigsawpu

zzles/jigsaw-puzzles/12-piece-jigsaw/03-zzles/jigsaw-puzzles/12-piece-jigsaw/03-28-06-coloredblocks.html28-06-coloredblocks.html


REVIEW

Adding and Subtracting Mixed Adding and Subtracting Mixed NumbersNumbers

To add or subtract mixed numbers, first To add or subtract mixed numbers, first add or subtract the fractions. Then add add or subtract the fractions. Then add or subtract the whole numbers. or subtract the whole numbers. Rename and simplify if necessary.Rename and simplify if necessary.


REVIEW

Examples Examples Find 5 3/8 – 3 1/3 Find 5 3/8 – 3 1/3

3/8 – 1/3 = 9/24 – 8/24 = 1/243/8 – 1/3 = 9/24 – 8/24 = 1/24

5 – 3 = 25 – 3 = 2

5 3/8 – 3 1/3 = 2 1/245 3/8 – 3 1/3 = 2 1/24

Find 3 2/5 + 1 3/5 Find 3 2/5 + 1 3/5

2/5 + 3/5 = 5/5 = 12/5 + 3/5 = 5/5 = 1

3 + 1 + 1 = 53 + 1 + 1 = 5


REVIEW

Exercises Exercises Add or SubtractAdd or Subtract

1.1. 5 7/10 – 3 2/5 5 7/10 – 3 2/5

2.2. 2¾ + 1 1/62¾ + 1 1/6

3.3. 1 8/9 – 1 1/31 8/9 – 1 1/3

4.4. 6 7/12 + 4 3/86 7/12 + 4 3/8

5.5. 4 3/7 – 2 5/144 3/7 – 2 5/14


REVIEW

Assignments Assignments During the weekend, Brown spent 1 ¾ During the weekend, Brown spent 1 ¾

hour on playing football and 2 1/6 hours hour on playing football and 2 1/6 hours for playing chess. How much time did he for playing chess. How much time did he spend in all subjects?spend in all subjects?


REVIEW

Subtracting Mixed numbers with Subtracting Mixed numbers with renamingrenaming

Find 5 – 2 2/3 Find 5 – 2 2/3 5 = 4 3/35 = 4 3/3

5 – 2 2/3 = 4 3/3 – 2 2/3 5 – 2 2/3 = 4 3/3 – 2 2/3 = 2 1/3 = 2 1/3

Find 4 3/8 – 2 5/8 = 4 11/8 – 2 5/8Find 4 3/8 – 2 5/8 = 4 11/8 – 2 5/8 = 2 6/8 = 2 ¾ = 2 6/8 = 2 ¾

Find 23 1/6 – 11 1/3 = 22 7/6 – 11 2/6Find 23 1/6 – 11 1/3 = 22 7/6 – 11 2/6 = 11 5/6 = 11 5/6


REVIEW

Practice Problems Practice Problems

1.1. 5 – 3 2/35 – 3 2/3

2.2. 9 1/6 – 4 5/6 9 1/6 – 4 5/6

3.3. 2 3/7 – 1 2/3 2 3/7 – 1 2/3

4.4. 8 5/8 – 1 ¾ 8 5/8 – 1 ¾

5.5. 12 2/5 – 9 2/312 2/5 – 9 2/3


REVIEW

AssignmentsAssignments

A board measures 9 1/3 feet. A piece A board measures 9 1/3 feet. A piece measuring 5 5/8 feet is cut off. Find the measuring 5 5/8 feet is cut off. Find the length of the remaining board?length of the remaining board?


REVIEW

That ‘s all for That ‘s all for today. See you today. See you next time next time

copyright ed2netlearning, inc 1 review. review copyright ed2netlearning, inc2 objectives rounding...

Documents