What is 10/8 divided by 4/7?

Looking for the result of 10/8 ÷ 4/7? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 10/8 by 4/7?

10 8 ÷ 4 7 = 10 × 7 8 × 4 = 70 32 = 35 16
  1. Invert the divisor (4/7) to get its reciprocal: 7/4
  2. Multiply the dividend by this reciprocal : 10/8 × 7/4 = (10 × 7)/(8 × 4) = 70/32.
  3. Simplify the fraction (70/32) by dividing both the numerator and the denominator by their GCD(2):
    • 70/2 = 35
    • 32/2 = 16
  4. This gives 35/16.
  5. Since 35/16 is an improper fraction, it could also be written as 2 3 16 .

The result of dividing 10/8 by 4/7 is : 35/16 (or 2.1875 in its decimal form)