How to add complex fractions

Practice Questions

ACT Math › How to add complex fractions

Questions

10

1

Simplify,

$\frac{\frac{a}{b} + \frac{ab}{c}}{\frac{c+b^2}{b}} + \frac{b}{c^2}$

2

Calculate

$\frac{\frac{1}{4}+\frac{2}{3}}{\frac{3}{8}+\frac{1}{6}} + \frac{4}{13}$

3

Calculate

$\frac{\frac{2}{7}}{\frac{1}{3} + \frac{2}{9}} + \frac{\frac{1}{5}}{\frac{1}{3} + 2}$

4

Calculate

$\frac{\frac{1}{3} + \frac{1}{4}}{\frac{1}{5} + \frac{2}{3}} + \frac{43}{52}$

5

Calculate

$\frac{\frac{4}{5}}{\frac{3}{12}} + \frac{\frac{3}{5} + 4}{\frac{1}{9} + \frac{5}{36}}$

6

Susan is training to run a race. The week before the race she ran four times. The first time she ran $2\tfrac{1}{3}$ miles, her second run was $3\tfrac{1}{2}$ miles, her third run was $1\tfrac{5}{6}$ miles and her final run was $4\tfrac{1}{5}$ miles. How many miles did Susan run this week?

7

Simplify:

$\frac{\frac{4-5}{12}+\frac{7+9}{10}}{\frac{5}{7}} + \frac{3}{4}$ .

8

Simplify:

$\frac{\frac{1}{4+5}}{\frac{3-5}{6}}+\frac{3}{\frac{3}{2}}$

9

Calculate

$\frac{\frac{1}{2} + \frac{2}{3}}{\frac{5}{6}} + \frac{3}{4}$

10

Calculate

$\frac{\frac{5}{7} + \frac{13}{21}}{1 + \frac{3}{2}} + \frac{4}{5}$

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