What is 15/27-11/28?

How much is 1527 minus 1128. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 41252
  • 0.1627 (rounded to 4 decimals)

Step by step solution

Subtract

1527 - 1128 = 123756

  1. Find common denominator by finding the Least Common Multiple(LCM)

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 756 ....etc

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 756 ...etc

    The LCM of 27 and 28 is 756. So, the common denominator of 1527 and 1128 is 756. Now change the fractions into equivalent fractions with common denominator

    • 1527 - 1128
    • 15 * 2827 * 28 - 11 * 2728 * 27
    • 420756 - 297756
  2. Subtract

    • 420756 - 297756
    • 420 - 297756
    • 123756

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • 123756
  • 41252
  1. Reduce fraction to its lowest terms

    • 123756
    • 123 ÷ 3756 ÷ 3
    • 41252

    The greatest common divisor of 123 and 756 is 3, the fraction 123756 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.