What is 4/27-13/7?

How much is 427 minus 137. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 323189
  • - 1 134189
  • 1.709 (rounded to 4 decimals)

Step by step solution

Subtract

427 - 137 = - 323189

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

    Multiples of 27 are   27, 54, 81, 108, 135, 162, 189 ....etc

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 189 ...etc

    The LCM of 27 and 7 is 189. So, the common denominator of 427 and 137 is 189. Now change the fractions into equivalent fractions with common denominator

    • 427 - 137
    • 4 * 727 * 7 - 13 * 277 * 27
    • 28189 - 351189
  2. Subtract

    • 28189 - 351189
    • 28 - 351189
    • - 323189

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

Simplify

  • - 323189
  • - 1 134189
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 323 and 189 is 1, the fraction - 323189 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction - 323189 to mixed number

    • - 323189
    • - 1 134189

    323 divided by 189 is 1 with a remainder of 134