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Mathematics

Find the reciprocal (multiplicative inverse) of:

35×23\dfrac{3}{5} \times \dfrac{2}{3}

Rational Numbers

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Answer

35×23=3×25×3=615=25\dfrac{3}{5} \times \dfrac{2}{3}\\[1em] =\dfrac{3 \times 2}{5 \times 3}\\[1em] =\dfrac{6}{15}\\[1em] =\dfrac{2}{5}

The multiplicative inverse of 25\dfrac{2}{5} = reciprocal of 25=52=212\dfrac{2}{5} = \dfrac{5}{2} = 2\dfrac{1}{2}.

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