What is 10/9 divided by 2/7?

Looking for the result of 10/9 ÷ 2/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/9 by 2/7?

10 9 ÷ 2 7 = 10 × 7 9 × 2 = 70 18 = 35 9
  1. Invert the divisor (2/7) to get its reciprocal: 7/2
  2. Multiply the dividend by this reciprocal : 10/9 × 7/2 = (10 × 7)/(9 × 2) = 70/18.
  3. Simplify the fraction (70/18) by dividing both the numerator and the denominator by their GCD(2):
    • 70/2 = 35
    • 18/2 = 9
  4. This gives 35/9.
  5. Since 35/9 is an improper fraction, it could also be written as 3 8 9 .

The result of dividing 10/9 by 2/7 is : 35/9 (or 3.8888888888889 in its decimal form)