What is 1/6 minus 7/4?

Looking for the result of 1/6 - 7/4? Follow this step-by-step guide to understand how to subtract these two fractions.

How to subtract 1/6 by 7/4?

1 6 − 7 4 = (1 × 4) − (7 × 6) 6 × 4 = -38 24 = -19 12
  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 × 6 = 42
  3. Subtract both of these results together to form the new numerator: 4 − 42 = -38
  4. Multiply both denominators together to form the new denominator: 6 × 4 = 24
  5. Combine the results to get the new fraction: -38/24
  6. Simplify the fraction (-38/24) by dividing both the numerator and the denominator by their GCD (2):
    • -38/2 = -19
    • 24/2 = 12
  7. This gives: -19/12.

The result of subtracting 1/6 and 7/4 is : -19/12 (or -1.5833333333333 in its decimal form)