What is 1/4 minus 7/2?

Looking for the result of 1/4 - 7/2? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 1/4 by 7/2?

1 4 − 7 2 = (1 × 2) − (7 × 4) 4 × 2 = -26 8 = -13 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: 7 × 4 = 28
  3. Subtract both of these results together to form the new numerator: 2 − 28 = -26
  4. Multiply both denominators together to form the new denominator: 4 × 2 = 8
  5. Combine the results to get the new fraction: -26/8
  6. Simplify the fraction (-26/8) by dividing both the numerator and the denominator by their GCD (2):
    • -26/2 = -13
    • 8/2 = 4
  7. This gives: -13/4.

The result of subtracting 1/4 and 7/2 is : -13/4 (or -3.25 in its decimal form)