What is 2/3 multiplied by 7/4?

Looking for the result of 2/3 × 7/4? Follow this step-by-step guide to understand how to multiply these two fractions together.

How to multiply 2/3 by 7/4?

2 3 × 7 4 = 2 × 7 3 × 4 = 14 12 = 7 6
  1. Multiply both numerators together: 2 × 7 = 14
  2. Multiply both denominators together: 3 × 4 = 12
  3. Combine the results to get the new fraction: 14/12
  4. Simplify the fraction (14/12) by dividing both the numerator and the denominator by their GCD (2):
    • 14/2 = 7
    • 12/2 = 6
  5. This gives: 7/6.

The result of multiplying 2/3 with 7/4 is : 7/6 (or 1.1666666666667 in its decimal form)