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\(\frac{1}{7}\)