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Fractions Worksheet

1. What fraction of each shape is shaded?

Solution:

 a) $\frac{1}{4}$ b) $\frac{2}{5}$ c) $\frac{2}{6}$, but is the same as $\frac{1}{3}$ d) $\frac{2}{4}$, but is the same as $\frac{1}{2}$ e) $\frac{3}{6}$, but is the same as $\frac{1}{2}$ f) $\frac{4}{6}$, but is the same as $\frac{2}{3}$

2. Copy each of these shapes and shade the fraction stated:

 $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{5}$ $\frac{5}{8}$ $\frac{4}{9}$ $\frac{7}{10}$

Solution:

 $\frac{2}{3}$ $\frac{1}{4}$ $\frac{3}{5}$ $\frac{5}{8}$ $\frac{4}{9}$ $\frac{7}{10}$

3. Copy each of these shapes and shade the fraction stated:

 $\frac{3}{4}$ $\frac{3}{5}$ $\frac{1}{3}$ $\frac{3}{8}$ $\frac{7}{9}$ $\frac{5}{18}$

Solution:

 $\frac{3}{4}$ $\frac{3}{5}$ $\frac{1}{3}$ $\frac{3}{8}$ $\frac{7}{9}$ $\frac{5}{18}$

4. Reduce the following fractions to their lowest terms:

a) $\frac{10}{60}$   b) $\frac{4}{36}$   c) $-\frac{26}{39}$   d) $\frac{3}{5}$   e) $\frac{18}{24}$

 a) $\frac{10}{60}$ can be reduced to $\frac{5}{30}$ by dividing both the numerator and the denominator by 2. Then $\frac{5}{30}$ can be reduced again to $\frac{1}{6}$ by dividing by 5. $\frac{10}{60}=\frac{5}{30}=\frac{1}{6}$ b) $\frac{4}{36}$ can be reduced to $\frac{2}{18}$ by dividing both the numerator and the denominator by 2. Then $\frac{2}{18}$ can be reduced again to $\frac{1}{9}$ by dividing by 2. $\frac{4}{36}=\frac{2}{18}=\frac{1}{9}$ c) $-\frac{26}{39}$ can be reduced to $-\frac{2}{3}$ by dividing both the numerator and the denominator by 13. $-\frac{26}{39}=-\frac{2}{3}$ d) $\frac{3}{5}$ is in its lowest terms as 3 and 5 have only 1 as their common factor. e) $\frac{18}{24}$ can be reduced to $-\frac{9}{12}$ by dividing both the numerator and the denominator by 2. Then $\frac{9}{12}$ can be reduced again to $\frac{3}{4}$ by dividing by 3. $\frac{18}{24}=\frac{9}{12}=\frac{3}{4}$