GCD Practice Exercises with Solutions on Youtube

Find the GCD/GCF of the following numbers.

1. 12, 18
2. 14, 35
3. 20,28
4. 25, 30, 40
5. 7, 12
6. 48, 72
7. 42, 60, 72
8. 24, 36
9. 12, 16
10. 18, 30, 54

1. 6
2. 7
3. 4
4. 5
5. 1
6. 12
7. 6
8. 12
9. 4
10. 6

Multiplication and Division of Fractions Exercises – Set 2

Find the product of the following:

1.) $\dfrac{3}{4} \times \dfrac{5}{8}$

2.) $\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$

3.) $2 \dfrac{3}{5} \times \dfrac{2}{3}$

4.) $7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$

5.) $7 \times 2 \dfrac{3}{14}$

6.) $\dfrac{2}{3} \div \dfrac{3}{4}$

7.) $15 \div \dfrac{5}{6}$

8.) $\dfrac{3}{8} \div 4$

9.) $1 \dfrac{2}{3} \div \dfrac{4}{5}$

10.) $7 \dfrac{1}{4} \div \dfrac{1}{8}$

Solution:

1.) $\dfrac{15}{32}$

2.) $\dfrac{1}{16}$
$\dfrac{1}{8} \times \dfrac{3}{4} \times \dfrac{2}{3}$
$= \dfrac{6}{96} or \dfrac{1}{16}$

3.) $1 \dfrac{11}{15}$
$2 \dfrac{3}{5} \times \dfrac{2}{3}$
$= \dfrac{13}{5} \times \dfrac{2}{3}$
$= \dfrac{26}{15} or 1 \dfrac{11}{15}$

4.) $13 \dfrac{17}{24}$
$= 7 \dfrac{5}{6} \times 1 \dfrac{3}{4}$
$= \dfrac{47}{6} \times \dfrac{7}{4}$
$= \dfrac{329}{24} \times 13 \dfrac{17}{24}$

5.) $15 \dfrac{1}{12}$
$7 \times 2 \dfrac{3}{14}$
$= \dfrac{7}{1} \times \dfrac{31}{14}$
$= \dfrac{217}{14} or 15 \dfrac{7}{14} or 15 \dfrac{1}{2}$

6.) $\dfrac{8}{9}$
$\dfrac{2}{3} \div \dfrac{3}{4}$
$= \dfrac{3}{2} \times \dfrac{3}{4} = \dfrac{8}{9}$

7.) $\dfrac{1}{18}$
$= 15 \div \dfrac{5}{6}$
$= \dfrac{1}{15} \times \dfrac{5}{6} = \dfrac{5}{90} or \dfrac{1}{18}$

8.) $10 \dfrac{2}{3}$
$\dfrac{3}{8} \div 4$
$= \dfrac{8}{3} \times \dfrac{4}{1} = \dfrac{32}{3} or 10 \dfrac{2}{3}$

9.) $\dfrac{12}{25}$
$1 \dfrac{2}{3} \div \dfrac{4}{5}$
$= \dfrac{5}{3} \div\dfrac{4}{5}$
$= \dfrac{3}{5} \times \dfrac{4}{5} = \dfrac{12}{25}$

10.) $\dfrac{1}{58}$
$7 \dfrac{1}{4} \div \dfrac{1}{8}$
$= \dfrac{29}{4} \div \dfrac{1}{8}$
$= \dfrac{4}{29} \times\dfrac{1}{8} = \dfrac{4}{232} or \dfrac{1}{58}$

You might also like: Multiplication and Division of Fractions Exercises – Set 1

Addition of Fractions Exercises – Set 2

1.) $\dfrac{1}{7} + \dfrac{2}{7}$

2.) $\dfrac{1}{12} + \dfrac{5}{12}$

3.) $\dfrac{7}{15} + \dfrac{2}{15} + \dfrac{6}{15}$

4.) $\dfrac{1}{3} + \dfrac{1}{4}$

5.) $\dfrac{2}{9} + \dfrac{1}{3}$

6.) $\dfrac{3}{8} + \dfrac{1}{4}$

7.) $8 \dfrac{2}{3} + \dfrac{3}{2}$

8.) $\dfrac{1}{2} + \dfrac{2}{3} + \dfrac{3}{4}$

9.) $7 \dfrac{2}{7} + 6 \dfrac{3}{14}$

10.) $3 \dfrac{1}{4} + 2 \dfrac{1}{8}$

1.) $\dfrac{3}{7}$

2.) $\dfrac{6}{12} = \dfrac{1}{2}$

3.) $\dfrac{15}{15} = 1$

4.) $\dfrac{7}{12}$
Solution:
LCD: 12
$\dfrac{4}{12} + \dfrac{3}{12} = \dfrac{7}{12}$

5.) $\dfrac{5}{9}$
Solution:
LCD: 9
$\dfrac{2}{9} + \dfrac{3}{9} = \dfrac{5}{9}$

6.) $\dfrac{5}{8}$
Solution:
LCD: 8
$\dfrac{3}{8} + \dfrac{2}{8} = \dfrac{5}{8}$

7.) $10 \dfrac{1}{6}$
Solution:
LCD: 6

$8 \dfrac{4}{6} + \dfrac{9}{6} = 8 \dfrac{13}{6} = 10 \dfrac{1}{6}$

8.) $1 \dfrac{11}{12}$
Solution:
LCD: 12

$\dfrac{6}{12} + \dfrac{8}{12} + \dfrac{9}{12} = \dfrac{23}{12} = 1 \dfrac{11}{12}$

9.) $13 \dfrac{1}{2}$

Solution:
LCD: 14

$7 \dfrac{4}{14} + 6 \dfrac{3}{14} = 13 \dfrac{7}{14} = 13 \dfrac{1}{2}$

10.) $5 \dfrac{3}{8}$

Solution:
LCD: 8

$3 \dfrac{2}{8} + 2 \dfrac{1}{8} = 5 \dfrac{3}{8}$

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