Final answer:
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:
- Multiply the numerators: 2 × 8 = 16.
- Multiply the denominators: 3 × 7 = 21.
- 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.