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Worksheets

7th 1-5 - Dividing Rational Numbers

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Which of these is the reciprocal of

 133-\frac{13}{3} ?

a)

 133-\frac{13}{3}  

b)

 133\frac{13}{3}  

c)

 313\frac{3}{13}  

d)

 313-\frac{3}{13}  

2.

Find the reciprocal of  45\frac{4}{5} .

a)

 45-\frac{4}{5}  

b)

 45\frac{4}{5}  

c)

 54\frac{5}{4}  

d)

 54-\frac{5}{4}  

3.

Write a multiplication expression equivalent to this division expression.

 515 ÷ 1145-\frac{5}{15}\ \div\ \frac{11}{45}  

a)

 515 × 1145-\frac{5}{15}\ \times\ \frac{11}{45}  

b)

 155 × 1145-\frac{15}{5}\ \times\ \frac{11}{45}  

c)

 515 × 4511-\frac{5}{15}\ \times\ \frac{45}{11}  

d)

 155 × 4511-\frac{15}{5}\ \times\ \frac{45}{11}  

4.

Divide and simplify.

 49 ÷ 115\frac{4}{9}\ \div\ -\frac{11}{5}  

a)

 2099\frac{20}{99}  

b)

 2099-\frac{20}{99}  

c)

 4445\frac{44}{45}  

d)

 4445-\frac{44}{45}  

5.

Which of these is the reciprocal of
 19101\frac{9}{10} ?

a)

 109-\frac{10}{9}  

b)

 109\frac{10}{9}  

c)

 1910\frac{19}{10}  

d)

 1019\frac{10}{19}  

6.

What is the correct​ quotient?

 23 ÷ 13\frac{2}{3}\ \div\ \frac{1}{3}  

a)

 29\frac{2}{9}  

b)

 23\frac{2}{3}  

c)

2

d)

 13\frac{1}{3}  

7.

The area of the rectangle is  10 ft2.10\ ft^2.   If the width is  217ft2\frac{1}{7}ft , what is the length?

a)

 4154\frac{1}{5}  

b)

 715\frac{7}{15}  

c)

 157\frac{15}{7}  

d)

 4234\frac{2}{3}  

8.

Which multiplication expression is equivalent to

3/4 ÷ 1/16​?

a)

3/4 x 16/1

b)

3/4 x 1/16

c)

4/3 x 1/16

d)

4/3 x 16/1

9.

 Find the quotient.

 910 ÷ 5.8\frac{9}{10}\ \div\ 5.8 

a)

 52.710\frac{52.7}{10}  

b)

5.27

c)

 958\frac{9}{58}  

d)

 589\frac{58}{9}  

10.

 A patient is to take 4134\frac{1}{3}  tablespoons of medicine per day in 2 equally divided doses. How much medicine is to be taken in each​ dose?

a)

 133\frac{13}{3}  tablespoons

b)

 2162\frac{1}{6}  tablespoons

c)

 4134\frac{1}{3}  tablespoons

d)

 8238\frac{2}{3}  tablespoons

11.

Between 11 P.M. and 9 A.M.​, the water level in a swimming pool decreased by  950\frac{9}{50} in.  Assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

a)

 9500\frac{9}{500} in.

b)

 59\frac{5}{9} in.

c)

 1451\frac{4}{5} in.

d)

 5009\frac{500}{9} in.