Question

Divide the following fractions. Reduce if necessary. (2)/(3)-:(7)/(8) Hint: Multiplying by the reciprocal may be an easier alternative way to solve this division problem!

Answer 1

To divide (2/3) by (7/8), multiply (2/3) by the reciprocal of (7/8), which is (8/7). After multiplying, we get the result (16/21), which is already simplified.

Step-by-step explanation:

To divide the fractions (2/3) ÷ (7/8), we can multiply the first fraction by the reciprocal of the second. Multiplying by the reciprocal is the same as dividing by the original fraction. So, we need to multiply (2/3) by (8/7), which is the reciprocal of (7/8).

Here's the math step by step:

1. Multiply the numerators: 2 × 8 = 16.
2. Multiply the denominators: 3 × 7 = 21.
3. Put the new numerator over the new denominator: (16/21).

The fraction (16/21) is already in its simplest form because there are no common factors between the numerator and denominator.