Simplify fractions worksheet with 30 exercises for math practice.

Let's solve each of these fractions and reduce them to their simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, then divide both by that number.

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Step-by-step solutions:

1) $\frac{10}{20} = \frac{10 \div 10}{20 \div 10} = \frac{1}{2}$
2) $\frac{20}{70} = \frac{20 \div 10}{70 \div 10} = \frac{2}{7}$
3) $\frac{3}{12} = \frac{3 \div 3}{12 \div 3} = \frac{1}{4}$
4) $\frac{4}{18} = \frac{4 \div 2}{18 \div 2} = \frac{2}{9}$
5) $\frac{16}{80} = \frac{16 \div 16}{80 \div 16} = \frac{1}{5}$
6) $\frac{40}{48} = \frac{40 \div 8}{48 \div 8} = \frac{5}{6}$
7) $\frac{48}{54} = \frac{48 \div 6}{54 \div 6} = \frac{8}{9}$
8) $\frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}$
9) $\frac{4}{20} = \frac{4 \div 4}{20 \div 4} = \frac{1}{5}$
10) $\frac{9}{15} = \frac{9 \div 3}{15 \div 3} = \frac{3}{5}$

11) $\frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2}$
12) $\frac{30}{40} = \frac{30 \div 10}{40 \div 10} = \frac{3}{4}$
13) $\frac{18}{24} = \frac{18 \div 6}{24 \div 6} = \frac{3}{4}$
14) $\frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}$
15) $\frac{5}{35} = \frac{5 \div 5}{35 \div 5} = \frac{1}{7}$
16) $\frac{21}{35} = \frac{21 \div 7}{35 \div 7} = \frac{3}{5}$
17) $\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}$
18) $\frac{7}{14} = \frac{7 \div 7}{14 \div 7} = \frac{1}{2}$
19) $\frac{35}{40} = \frac{35 \div 5}{40 \div 5} = \frac{7}{8}$
20) $\frac{21}{30} = \frac{21 \div 3}{30 \div 3} = \frac{7}{10}$

21) $\frac{10}{40} = \frac{10 \div 10}{40 \div 10} = \frac{1}{4}$
22) $\frac{3}{6} = \frac{3 \div 3}{6 \div 3} = \frac{1}{2}$
23) $\frac{10}{20} = \frac{10 \div 10}{20 \div 10} = \frac{1}{2}$
24) $\frac{14}{49} = \frac{14 \div 7}{49 \div 7} = \frac{2}{7}$
25) $\frac{21}{27} = \frac{21 \div 3}{27 \div 3} = \frac{7}{9}$
26) $\frac{9}{15} = \frac{9 \div 3}{15 \div 3} = \frac{3}{5}$
27) $\frac{10}{40} = \frac{10 \div 10}{40 \div 10} = \frac{1}{4}$
28) $\frac{20}{30} = \frac{20 \div 10}{30 \div 10} = \frac{2}{3}$
29) $\frac{5}{10} = \frac{5 \div 5}{10 \div 5} = \frac{1}{2}$
30) $\frac{25}{35} = \frac{25 \div 5}{35 \div 5} = \frac{5}{7}$

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✔ Final Answers:

1) $\frac{1}{2}$
2) $\frac{2}{7}$
3) $\frac{1}{4}$
4) $\frac{2}{9}$
5) $\frac{1}{5}$
6) $\frac{5}{6}$
7) $\frac{8}{9}$
8) $\frac{2}{3}$
9) $\frac{1}{5}$
10) $\frac{3}{5}$
11) $\frac{1}{2}$
12) $\frac{3}{4}$
13) $\frac{3}{4}$
14) $\frac{1}{6}$
15) $\frac{1}{7}$
16) $\frac{3}{5}$
17) $\frac{2}{3}$
18) $\frac{1}{2}$
19) $\frac{7}{8}$
20) $\frac{7}{10}$
21) $\frac{1}{4}$
22) $\frac{1}{2}$
23) $\frac{1}{2}$
24) $\frac{2}{7}$
25) $\frac{7}{9}$
26) $\frac{3}{5}$
27) $\frac{1}{4}$
28) $\frac{2}{3}$
29) $\frac{1}{2}$
30) $\frac{5}{7}$

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✔ Tip: Always check if the numerator and denominator have a common factor. Divide both by the largest common factor to get the simplest form.

Let me know if you'd like this in printable format or with explanations for any specific problem!