What is 1/4 minus 5/2?

Looking for the result of 1/4 - 5/2? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 1/4 by 5/2?

1 4 − 5 2 = (1 × 2) − (5 × 4) 4 × 2 = -18 8 = -9 4
  1. Multiply the numerator of the first term, with the denominator of the second term: 1 × 2 = 2
  2. Multiply the numerator of the second term, with the denominator of the first term: 5 × 4 = 20
  3. Subtract both of these results together to form the new numerator: 2 − 20 = -18
  4. Multiply both denominators together to form the new denominator: 4 × 2 = 8
  5. Combine the results to get the new fraction: -18/8
  6. Simplify the fraction (-18/8) by dividing both the numerator and the denominator by their GCD (2):
    • -18/2 = -9
    • 8/2 = 4
  7. This gives: -9/4.

The result of subtracting 1/4 and 5/2 is : -9/4 (or -2.25 in its decimal form)