6.6(most often as word problems)

a) multiply and divide fractions and mixed numbers; and (cannot use calculator)

b) estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions

(can use calculator)

Question:

Info: Key Words Operation

Solve: (show your work) Final Answer:

SOL 6.6a (see 6.4 fpr vocabulary) pg

Key Words for Word Problems-Subtraction- a-b

Difference, fewer, more, left, less, minus, need to, remains, subtract,

words ending “er” (comparing words)

Addition- a + badd, altogether, both, in all, sum, total

Multiplication- a(b ) a x b a•b a*b

OF, every, at this rate, times, multiplied by

Division- a/b a÷b a b per, split, divide, out of, each, ratio of

Pg. NO Calculator

Improper Fractions the numerator part greater or equal to the

denominator ex-17/2 or 5/5

How to make an improper to a mixed:DIVIDE the numerator by the denominator. Whole

number is quotient, remainder is new numerator and denominator stays the same.

Practice- 1. 5/2 2. 14/8 3. 4/4

Mixed Fractions a whole number plus a fraction ex-2 ½ or 1 ¼ . How to make a mixed an improper:Multiply the whole number by the denominator,

then add on the numerator. This is your new numerator. The denominator stays the same!

Practice- 1. 2 ¼ 2. 5 ¾ 3. 4 1/5

Remember to simplify whenever possible!

Adding Fractions pg (no regrouping)

Make equivalent fractions and then add

2/3 = 8 /12

+ 3/4 = 9 /12

17/12 = 1 5/12

Mixed - Make equivalents and add

3 ½ = 2 /4+ 2 ¼ = 1 /4 5 3/4

Pg

Practice1. 4/9 + 1/3

2. 3 ¼ + 2 ½

3. 7/12 + 1/6

Pg Practice

1. 5/8 – 5/12=

2. 2 7/8- 5/6=

3. 10 – 4 ¾ =

Subtracting Fractions pg

Find the least common denominator (LCM) and make equivalent fractions

2/3 = 8 /12

- 1/4 = 3 /12 5/12

Mixed-Make equivalents and subtract

4 ¾ = ¾ - 2 ½ = 2/4

2 1/4

Addition and Subtraction pg Regrouping

Make equivalents and regroup

4 ½ = 2 /4 + 4/4 = 6/4

-2 ¾ = 3 /4

1 ¾

4 ½ = 2 /4

+ 2 ¾ = 3 /4

5/4= 1 ¼

7 1/4

Pg. 1. ¾ + 1/3 =

2. 2 3 /5 + 1/2 =

3. 5 7/9 + 3 1/2 =

4. 6 – 5/7=

5. 1/8 + 1/6=

6. 15 ½ - 3 2/3=

7. 12- 8 ½=

8. ¾ + 1 ½ + 2 1/6 =

Pg Practice

1. 3/8 x 2/3=

2. 1/3 x 5/6=

3. 4/5 x 2/9=

4. 9 1/3 x 2 2/3=

5. 20 x 1 ½=

6. 2/5 of 60=

7. 18 ÷ 2 ½=

8. 4 1/9 ÷ 6 2/3

9. ¾ ÷ 2=

pg

Multiplying and Dividing Fractions 6.6

Multiplying * Any mixed or whole number must be made improper before multiplying

1. Multiply the numerator 2. Multiply the denominators

Ex- ¾ x ½= 3/8Ex- 2 ½ x 1 ¾ = 5/2 x 7/4= 35/8= 4 3/8

Ex- 3 x 5/6 = 3/1 x 5/6= 15/6 = 2 3/6= 2 ½Ex- ½ OF 8= ½ x 8= ½ x 8/1= 8/2= 4

Dividing 1. Flip (reciprocal) the second fraction and change

the sign to multiplication.2. Follow the steps for multiplication

Ex ¾ ÷ ½= ¾ x 2/1= 5/4= 1 ¼

Ex 2 ¼ ÷ 5= 9/2 ÷ 5/1 = 9/2 x 1/5= 9/10

Estimating fractions pg

Round to the nearest whole number. If halfway mark, round up.

2 ¼ is closer to 2 than 3.

3 ¾ is closer to 4 than 3

Drawing pictures can help-

3 3/5 3 4

The bar is closer to 4 than 3

3 3/5 3 4

The number line is closer to 4 than 3

PracticeEstimate and add the fractions

1. 5 4/7 3 ½ + 4 1/3_____________

2. ½ 1 2/3

¾ 2 2/5 + 1/3______________