What is 1/6 divided by 7/8?

Looking for the result of 1/6 ÷ 7/8? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 1/6 by 7/8?

1 6 ÷ 7 8 = 1 × 8 6 × 7 = 8 42 = 4 21
  1. Invert the divisor (7/8) to get its reciprocal: 8/7
  2. Multiply the dividend by this reciprocal : 1/6 × 8/7 = (1 × 8)/(6 × 7) = 8/42.
  3. Simplify the fraction (8/42) by dividing both the numerator and the denominator by their GCD(2):
    • 8/2 = 4
    • 42/2 = 21
  4. This gives 4/21.

The result of dividing 1/6 by 7/8 is : 4/21 (or 0.19047619047619 in its decimal form)