What is 7/6 divided by 10/9?

Looking for the result of 7/6 ÷ 10/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 7/6 by 10/9?

7 6 ÷ 10 9 = 7 × 9 6 × 10 = 63 60 = 21 20
  1. Invert the divisor (10/9) to get its reciprocal: 9/10
  2. Multiply the dividend by this reciprocal : 7/6 × 9/10 = (7 × 9)/(6 × 10) = 63/60.
  3. Simplify the fraction (63/60) by dividing both the numerator and the denominator by their GCD(3):
    • 63/3 = 21
    • 60/3 = 20
  4. This gives 21/20.
  5. Since 21/20 is an improper fraction, it could also be written as 1 1 20 .

The result of dividing 7/6 by 10/9 is : 21/20 (or 1.05 in its decimal form)