Add the quotient of 4/7÷4/5 to the product of 4/7×5/8

Answer 1

To solve this problem, we need to find the quotient of 4/7 divided by 4/5 and then add it to the product of 4/7 multiplied by 5/8.

First, let's find the quotient of 4/7 divided by 4/5:
(4/7) ÷ (4/5) = (4/7) × (5/4) (invert the second fraction and multiply)
= (4 × 5) / (7 × 4) (multiply numerators and denominators separately)
= 20 / 28
= 5/7

Next, let's find the product of 4/7 multiplied by 5/8:
(4/7) × (5/8) = (4 × 5) / (7 × 8) (multiply numerators and denominators separately)
= 20 / 56
= 5/14

Now, we'll add the quotient (5/7) to the product (5/14):
(5/7) + (5/14) (both fractions have a common denominator of 14, so we can add them)
= (10/14) + (5/14) (rewrite both fractions having the same denominator)
= 15/14

Therefore, the sum of the quotient of 4/7 divided by 4/5 and the product of 4/7 multiplied by 5/8 is 15/14.