What is 1/4 minus 7/4?

Looking for the result of 1/4 - 7/4? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 1/4 by 7/4?

1 4 − 7 4 = (1 × 4) − (7 × 4) 4 × 4 = -24 16 = -3 2
  1. Multiply the numerator of the first term, with the denominator of the second term: 1 × 4 = 4
  2. Multiply the numerator of the second term, with the denominator of the first term: 7 × 4 = 28
  3. Subtract both of these results together to form the new numerator: 4 − 28 = -24
  4. Multiply both denominators together to form the new denominator: 4 × 4 = 16
  5. Combine the results to get the new fraction: -24/16
  6. Simplify the fraction (-24/16) by dividing both the numerator and the denominator by their GCD (8):
    • -24/8 = -3
    • 16/8 = 2
  7. This gives: -3/2.

The result of subtracting 1/4 and 7/4 is : -3/2 (or -1.5 in its decimal form)