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Worksheets

Chapter 3 Rational Numbers

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Write 4 23\frac{2}{3}  as a decimal. 

a)

0.6

b)

 0.6‾0.\overline{6}  

c)

4.6

d)

 4.6‾4.\overline{6}  

2.

Is 28\frac{\sqrt{2}}{8}  rational or irrational?

a)

Rational

b)

Irrational

3.

Which decimal is equivalent to 720\frac{7}{20}  ?

a)

0.14

b)

 0.14‾0.\overline{14}  

c)

0.35

d)

 0.35‾0.\overline{35}  

4.

Write 0.65 as a fraction in simplest form.

a)

1320\frac{13}{20}

b)

134\frac{13}{4}

c)

6510\frac{65}{10}

d)

659\frac{65}{9}

5.

 16⋅56\frac{1}{6}\cdot\frac{5}{6}  

a)

 536\frac{5}{36}  

b)

 512\frac{5}{12}  

c)

 12\frac{1}{2}  

d)

1

6.

 23⋅67\frac{2}{3}\cdot\frac{6}{7}  
Make sure your answer is in simplest form.

a)

 821\frac{8}{21}  

b)

 47\frac{4}{7}  

c)

 79\frac{7}{9}  

d)

 1221\frac{12}{21}  

7.

What is the reciprocal of  89\frac{8}{9}  ?

a)

 89\frac{8}{9}  

b)

 −89-\frac{8}{9}  

c)

 −98-\frac{9}{8}  

d)

 98\frac{9}{8}  

8.

 −23÷(−32)-\frac{2}{3}\div\left(-\frac{3}{2}\right)  

a)

1

b)

 49\frac{4}{9}  

c)

 −49-\frac{4}{9}  

d)

-1

9.

 916−516\frac{9}{16}-\frac{5}{16}  

a)

4

b)

 78\frac{7}{8}  

c)

 14\frac{1}{4}  

d)

0

10.

 56−58\frac{5}{6}-\frac{5}{8}  

a)

 57\frac{5}{7}  

b)

 518\frac{5}{18}  

c)

 524\frac{5}{24}  

d)

 −12-\frac{1}{2}  

11.

 49⋅35\frac{4}{9}\cdot\frac{3}{5}  


Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.



(a)  

12.

 −314⋅2-3\frac{1}{4}\cdot2  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.

(a)  

13.

 14÷116\frac{1}{4}\div\frac{1}{16}  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

14.

 −145÷23-1\frac{4}{5}\div\frac{2}{3}  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

15.

 1724−(−524)\frac{17}{24}-\left(-\frac{5}{24}\right)  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

16.

 6425−219256\frac{4}{25}-2\frac{19}{25}  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

17.

 512+45\frac{5}{12}+\frac{4}{5}  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

18.

 27−79\frac{2}{7}-\frac{7}{9}  
Type your answer with a space between the whole number and fraction.  Use / for the fraction bar.


(a)  

19.

 7a9bc⋅12b21a\frac{7a}{9bc}\cdot\frac{12b}{21a}  
Use / for the fraction bar.


(a)  

20.

 152h+142h\frac{15}{2h}+\frac{14}{2h}  
Use / for the fraction bar.


(a)