Let's solve each fraction by reducing it to its
lowest terms. To do this, we find the
greatest common divisor (GCD) of the numerator and denominator, then divide both by that number.
---
Step-by-step reductions:
1.
$\frac{2}{10}$
GCD of 2 and 10 is
2
$\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$
2.
$\frac{9}{12}$
GCD of 9 and 12 is
3
$\frac{9 \div 3}{12 \div 3} = \frac{3}{4}$
3.
$\frac{6}{42}$
GCD of 6 and 42 is
6
$\frac{6 \div 6}{42 \div 6} = \frac{1}{7}$
4.
$\frac{14}{49}$
GCD of 14 and 49 is
7
$\frac{14 \div 7}{49 \div 7} = \frac{2}{7}$
5.
$\frac{6}{9}$
GCD of 6 and 9 is
3
$\frac{6 \div 3}{9 \div 3} = \frac{2}{3}$
6.
$\frac{4}{8}$
GCD of 4 and 8 is
4
$\frac{4 \div 4}{8 \div 4} = \frac{1}{2}$
7.
$\frac{6}{10}$
GCD of 6 and 10 is
2
$\frac{6 \div 2}{10 \div 2} = \frac{3}{5}$
8.
$\frac{25}{40}$
GCD of 25 and 40 is
5
$\frac{25 \div 5}{40 \div 5} = \frac{5}{8}$
9.
$\frac{36}{40}$
GCD of 36 and 40 is
4
$\frac{36 \div 4}{40 \div 4} = \frac{9}{10}$
10.
$\frac{7}{56}$
GCD of 7 and 56 is
7
$\frac{7 \div 7}{56 \div 7} = \frac{1}{8}$
11.
$\frac{45}{50}$
GCD of 45 and 50 is
5
$\frac{45 \div 5}{50 \div 5} = \frac{9}{10}$
12.
$\frac{18}{60}$
GCD of 18 and 60 is
6
$\frac{18 \div 6}{60 \div 6} = \frac{3}{10}$
13.
$\frac{6}{30}$
GCD of 6 and 30 is
6
$\frac{6 \div 6}{30 \div 6} = \frac{1}{5}$
14.
$\frac{6}{12}$
GCD of 6 and 12 is
6
$\frac{6 \div 6}{12 \div 6} = \frac{1}{2}$
15.
$\frac{12}{15}$
GCD of 12 and 15 is
3
$\frac{12 \div 3}{15 \div 3} = \frac{4}{5}$
16.
$\frac{60}{70}$
GCD of 60 and 70 is
10
$\frac{60 \div 10}{70 \div 10} = \frac{6}{7}$
17.
$\frac{24}{30}$
GCD of 24 and 30 is
6
$\frac{24 \div 6}{30 \div 6} = \frac{4}{5}$
18.
$\frac{14}{35}$
GCD of 14 and 35 is
7
$\frac{14 \div 7}{35 \div 7} = \frac{2}{5}$
19.
$\frac{9}{21}$
GCD of 9 and 21 is
3
$\frac{9 \div 3}{21 \div 3} = \frac{3}{7}$
20.
$\frac{14}{16}$
GCD of 14 and 16 is
2
$\frac{14 \div 2}{16 \div 2} = \frac{7}{8}$
---
Final Answers:
$$
\begin{align*}
\frac{2}{10} &= \boxed{\frac{1}{5}} \\
\frac{9}{12} &= \boxed{\frac{3}{4}} \\
\frac{6}{42} &= \boxed{\frac{1}{7}} \\
\frac{14}{49} &= \boxed{\frac{2}{7}} \\
\frac{6}{9} &= \boxed{\frac{2}{3}} \\
\frac{4}{8} &= \boxed{\frac{1}{2}} \\
\frac{6}{10} &= \boxed{\frac{3}{5}} \\
\frac{25}{40} &= \boxed{\frac{5}{8}} \\
\frac{36}{40} &= \boxed{\frac{9}{10}} \\
\frac{7}{56} &= \boxed{\frac{1}{8}} \\
\frac{45}{50} &= \boxed{\frac{9}{10}} \\
\frac{18}{60} &= \boxed{\frac{3}{10}} \\
\frac{6}{30} &= \boxed{\frac{1}{5}} \\
\frac{6}{12} &= \boxed{\frac{1}{2}} \\
\frac{12}{15} &= \boxed{\frac{4}{5}} \\
\frac{60}{70} &= \boxed{\frac{6}{7}} \\
\frac{24}{30} &= \boxed{\frac{4}{5}} \\
\frac{14}{35} &= \boxed{\frac{2}{5}} \\
\frac{9}{21} &= \boxed{\frac{3}{7}} \\
\frac{14}{16} &= \boxed{\frac{7}{8}} \\
\end{align*}
$$
✔ All fractions have been reduced to their lowest terms.
Parent Tip: Review the logic above to help your child master the concept of reducing fractions worksheet lowest terms.
