What is 1/4 divided by 3/10?

Looking for the result of 1/4 ÷ 3/10? Follow this step-by-step guide to understand how to divide these two fractions.

How to divide 1/4 by 3/10?

1 4 ÷ 3 10 = 1 × 10 4 × 3 = 10 12 = 5 6
  1. Invert the divisor (3/10) to get its reciprocal: 10/3
  2. Multiply the dividend by this reciprocal : 1/4 × 10/3 = (1 × 10)/(4 × 3) = 10/12.
  3. Simplify the fraction (10/12) by dividing both the numerator and the denominator by their GCD(2):
    • 10/2 = 5
    • 12/2 = 6
  4. This gives 5/6.

The result of dividing 1/4 by 3/10 is : 5/6 (or 0.83333333333333 in its decimal form)