Question

Multiply the following fractions:
(i) $\frac{2}{5}$ × 5 $\frac{1}{4}$
(ii) 6 $\frac{2}{5}$ × $\frac{7}{9}$
(iii)$\frac{3}{2}$ × 5 $\frac{1}{3}$
(iv) $\frac{5}{6}$ × 2 $\frac{3}{7}$
(v) 3 $\frac{2}{5}$× $\frac{4}{7}$
(vi) 2 $\frac{3}{5}$ × 3
(vii) 3 $\frac{4}{7}$ × $\frac{3}{5}$

Answer 1

(i) $\frac{2}{5}$× 5 $\frac{1}{4}$ = $\frac{2}{5}$ × $\frac{21}{4}$ =$\frac{21}{10}$
This is an improper fraction and it can be written as a mixed fraction as 2$\frac{1}{10}$

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(ii) 6 $\frac{2}{5}$ ×$\frac{7}{9}$= $\frac{32}{5}$ × $\frac{7}{9}$ =$\frac{224}{45}$
This is an improper fraction and it can be written as a mixed fraction as 4 $\frac{44}{45}$

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(iii) $\frac{3}{2}$× 5 $\frac{1}{3}$ = $\frac{3}{2}$ ×$\frac{16}{3}$ = 8
This is a whole number.

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(iv) $\frac{5}{6}$× 2 $\frac{3}{7}$ = $\frac{5}{6}$× $\frac{17}{7}$= $\frac{85}{42}$
This is an improper fraction and it can be written as a mixed fraction as 2 $\frac{1}{42}$

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(v) 3 $\frac{2}{5}$ × $\frac{4}{7}$ = $\frac{17}{5}$× $\frac{4}{7}$ = $\frac{68}{35}$
This is an improper fraction and it can be written as a mixed fraction as 1 $\frac{33}{35}$

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(vi) 2 $\frac{3}{5}$ × 3 = $\frac{13}{5}$× 3 = $\frac{39}{5}$
This is an improper fraction and it can be written as a mixed fraction as 7 $\frac{4}{5}$

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(vii) 3$\frac{4}{7}$ ×$\frac{3}{5}$ = $\frac{25}{7}$×$\frac{3}{5}$= $\frac{15}{7}$
This is an improper fraction and it can be written as a mixed fraction as 2$\frac{1}{7}$