What is 4/7 divided by 4/9?

Looking for the result of 4/7 ÷ 4/9? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 4/7 by 4/9?

4 7 ÷ 4 9 = 4 × 9 7 × 4 = 36 28 = 9 7
  1. Invert the divisor (4/9) to get its reciprocal: 9/4
  2. Multiply the dividend by this reciprocal : 4/7 × 9/4 = (4 × 9)/(7 × 4) = 36/28.
  3. Simplify the fraction (36/28) by dividing both the numerator and the denominator by their GCD(4):
    • 36/4 = 9
    • 28/4 = 7
  4. This gives 9/7.
  5. Since 9/7 is an improper fraction, it could also be written as 1 2 7 .

The result of dividing 4/7 by 4/9 is : 9/7 (or 1.2857142857143 in its decimal form)