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Worksheets

Multiplying & Dividing Rational Fractions

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

What is the rule for Dividing Fractions?

a)

"Keep, Keep, Flip"

b)

"Keep, Change, Flip"

c)

"Keep, Change, Keep

d)

I don't know!

2.

 Which is equal to 113?Which\ is\ equal\ to\ 1\frac{1}{3}?  

a)

 23\frac{2}{3}  

b)

 63\frac{6}{3}  

c)

 34\frac{3}{4}  

d)

 43\frac{4}{3}  

3.

 Which  answer  is  equal  to 174Which\ \ answer\ \ is\ \ equal\ \ to\ \frac{17}{4}  

a)

 14\frac{1}{4}  

b)

 2242\frac{2}{4}  

c)

4

d)

 4144\frac{1}{4}  

4.

Solve

a)

75\frac{7}{5}

b)

57\frac{5}{7}

c)

8135-\frac{81}{35}

d)

57-\frac{5}{7}

5.

Solve the problem. Make sure your answer is in simplest form.

a)

26\frac{2}{6}  

b)

13-\frac{1}{3}  

c)

3-3  

d)

13\frac{1}{3}  

6.

Multiply Make sure your answer is in simplest form.

a)

518-\frac{5}{18}

b)

212-2\frac{1}{2}

c)

13-\frac{1}{3}

7.

Multiply. Make sure your answer is in simplest form.

a)

960-\frac{9}{60}

b)

5255\frac{2}{5}

c)

320\frac{3}{20}

8.

514 ÷ 1 37-\frac{5}{14}\ \div\ -1\ \frac{3}{7}  

a)

14-\frac{1}{4}  

b)

14\frac{1}{4}  

c)

2549-\frac{25}{49}  

d)

2549\frac{25}{49}  

9.

12 × (35 )-\frac{1}{2}\ \times\ \left(-\frac{3}{5}\ \right)  
Simplify the expression .

a)

310\frac{3}{10}  

b)

56\frac{5}{6}  

c)

1151\frac{1}{5}  

d)

3133\frac{1}{3}  

10.

123 × 45-1\frac{2}{3}\ \times\ \frac{4}{5}  
Simplify the expression.

a)

113-1\frac{1}{3}  

b)

1131\frac{1}{3}  

c)

2112-2\frac{1}{12}  

d)

21122\frac{1}{12}  

11.

Simplify the expression.
67 ÷( 1412)-\frac{6}{7}\ \div\left(-\ \frac{14}{12}\right)  

a)

3649\frac{36}{49}  

b)

3649-\frac{36}{49}  

c)

1

d)

1271\frac{2}{7}  

12.

What would be the sign of the answer to the following problem? 

(23) ×(15)\left(\frac{2}{3}\right)\ \times\left(\frac{-1}{5}\right)  

a)

Positive

b)

Negative

13.

Simplify the expression:
15 ÷ 1011-15\ \div\ \frac{10}{11}  

a)

16 12-16\ \frac{1}{2}  

b)

16 1216\ \frac{1}{2}  

c)

13 711-13\ \frac{7}{11}  

d)

13 71113\ \frac{7}{11}  

14.

Simplify the expression
1314 × (6)-\frac{13}{14}\ \times\ \left(-6\right)  

a)

5475\frac{4}{7}  

b)

547-5\frac{4}{7}  

c)

1384\frac{13}{84}  

d)

1384-\frac{13}{84}  

15.

Multiply. Make sure your answer is in simplest form.

a)

316-\frac{3}{16}

b)

316\frac{3}{16}

c)

5024\frac{50}{24}

d)

5024-\frac{50}{24}

16.

What would be the sign of the answer to the following problem? 

(12) ×(34)\left(\frac{-1}{2}\right)\ \times\left(\frac{-3}{4}\right)  

a)

Positive

b)

Negative

17.

54÷13\frac{-5}{4}\div\frac{1}{3}  

a)

512\frac{-5}{12}  

b)

512\frac{5}{12}

c)

3 34-3\ \frac{3}{4}  

d)

3 343\ \frac{3}{4}  

18.

Simplify

a)

314-\frac{3}{14}

b)

76\frac{7}{6}

c)

67-\frac{6}{7}

d)

67\frac{6}{7}

19.

72÷(75)-\frac{7}{2}\div\left(-\frac{7}{5}\right)  

a)

2 122\ \frac{1}{2}  

b)

4 9104\ \frac{9}{10}  

c)

2 12-2\ \frac{1}{2}  

d)

4 910-4\ \frac{9}{10}  

20.

The two rules for multiplying and dividing negative fractions are: choose two answers

a)

Same Signs the answer is Positive

b)

Same signs the answer is Negative

c)

Different Signs the answer is Negative

d)

Different Signs the answer is Positive