Question - Solving Multiplication of Fractions
Solution:
The question in the image shows a multiplication of two fractions: $$ \frac{6}{7} \times \frac{5}{8} $$.To solve this, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together:Numerator: $$ 6 \times 5 = 30 $$Denominator: $$ 7 \times 8 = 56 $$So the product of the two fractions is:\[ \frac{6}{7} \times \frac{5}{8} = \frac{30}{56} \]Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 56 is 2.So dividing both the numerator and the denominator by 2 gives:\[ \frac{30}{56} \div \frac{2}{2} = \frac{15}{28} \]Thus, the simplified product of the two fractions is $$ \frac{15}{28} $$.
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