Question

Find the quotient: 7/8 ÷ 3/8 / 21/64 ÷ 3/7

A. 3/7
B.2 1/3
C.7 1/3
D.7/3

Answer 1

To find the quotient of two fractions, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction if possible.

Step-by-step explanation:

To find the quotient of two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. So, let’s simplify the given expression step by step:

1. Convert the division of fractions to multiplication: 7/8 ÷ 3/8 becomes 7/8 * 8/3.
2. Multiply the numerators together: 7 * 8 = 56.
3. Multiply the denominators together: 8 * 3 = 24.
4. The quotient is 56/24.
5. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8 in this case. So, 56/24 simplifies to 7/3.

Therefore, the quotient of the given expression is 7/3, which is option D.