What is 3/4 divided by 6/7?

Looking for the result of 3/4 ÷ 6/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 3/4 by 6/7?

3 4 ÷ 6 7 = 3 × 7 4 × 6 = 21 24 = 7 8
  1. Invert the divisor (6/7) to get its reciprocal: 7/6
  2. Multiply the dividend by this reciprocal : 3/4 × 7/6 = (3 × 7)/(4 × 6) = 21/24.
  3. Simplify the fraction (21/24) by dividing both the numerator and the denominator by their GCD(3):
    • 21/3 = 7
    • 24/3 = 8
  4. This gives 7/8.

The result of dividing 3/4 by 6/7 is : 7/8 (or 0.875 in its decimal form)