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

Answers

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

Solutions to numbers 1-2
Solutions to numbers 3-5
Solutions to numbers 6-7
Solutions to numbers 8-10

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

Add the following fractions.

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}

Answer key and solution:

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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