What is 11/27-13/3?

How much is 1127 minus 133. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 10627
  • - 3 2527
  • 3.9259 (rounded to 4 decimals)

Step by step solution

Subtract

1127 - 133 = - 10627

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

    Multiples of 27 are   27 ....etc

    Multiples of 3 are   3, 6, 9, 12, 15, 18, 21, 24, 27 ...etc

    The LCM of 27 and 3 is 27. So, the common denominator of 1127 and 133 is 27. Now change the fractions into equivalent fractions with common denominator

    • 1127 - 133
    • 11 * 127 * 1 - 13 * 93 * 9
    • 1127 - 11727
  2. Subtract

    • 1127 - 11727
    • 11 - 11727
    • - 10627

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

Simplify

  • - 10627
  • - 3 2527
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 106 and 27 is 1, the fraction - 10627 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction - 10627 to mixed number

    • - 10627
    • - 3 2527

    106 divided by 27 is 3 with a remainder of 25