What is 1/4 plus 9/4?

Looking for the result of 1/4 + 9/4? Follow this step-by-step guide to understand how to add these two fractions together.

How to add 1/4 and 9/4?

1 4 + 9 4 = (1 × 4) + (9 × 4) 4 × 4 = 40 16 = 5 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: 9 × 4 = 36
  3. Add both of these results together to form the new numerator: 4 + 36 = 40
  4. Multiply both denominators together to form the new denominator: 4 × 4 = 16
  5. Combine the results to get the new fraction: 40/16
  6. Simplify the fraction (40/16) by dividing both the numerator and the denominator by their GCD (8):
    • 40/8 = 5
    • 16/8 = 2
  7. This gives: 5/2.

The result of adding 1/4 and 9/4 is : 5/2 (or 2.5 in its decimal form)