Question - Multiplication of Fractions
mathmultiplication of fractionsfraction multiplicationmultiply fractions examplefraction simplification
Solution:
The multiplication of two fractions involves multiplying the numerators (top numbers) together and the denominators (bottom numbers) together.So for the fractions $$ \frac{3}{5} $$ and $$ \frac{7}{6} $$, you multiply the numerators 3 and 7 to get 21, and you multiply the denominators 5 and 6 to get 30.The resulting fraction is:\[ \frac{3}{5} \times \frac{7}{6} = \frac{3 \times 7}{5 \times 6} = \frac{21}{30} \]To simplify the fraction further, find the greatest common divisor (GCD) of 21 and 30. The GCD of 21 and 30 is 3.So we divide both numerator and denominator by 3:\[ \frac{21 \div 3}{30 \div 3} = \frac{7}{10} \]Hence, $$ \frac{3}{5} \times \frac{7}{6} = \frac{7}{10} $$ after simplification.
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