What is 10/6 divided by 6/7?

Looking for the result of 10/6 ÷ 6/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/6 by 6/7?

10 6 ÷ 6 7 = 10 × 7 6 × 6 = 70 36 = 35 18
  1. Invert the divisor (6/7) to get its reciprocal: 7/6
  2. Multiply the dividend by this reciprocal : 10/6 × 7/6 = (10 × 7)/(6 × 6) = 70/36.
  3. Simplify the fraction (70/36) by dividing both the numerator and the denominator by their GCD(2):
    • 70/2 = 35
    • 36/2 = 18
  4. This gives 35/18.
  5. Since 35/18 is an improper fraction, it could also be written as 1 17 18 .

The result of dividing 10/6 by 6/7 is : 35/18 (or 1.9444444444444 in its decimal form)