What is 10/8-4/27?

How much is 108 minus 427. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 119108
  • 1 11108
  • 1.1019 (rounded to 4 decimals)

Step by step solution

Subtract

108 - 427 = 238216

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

    Multiples of 8 are   8, 16, 24, 32, 40, 48, 56, 64, ..., 216 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 216 ...etc

    The LCM of 8 and 27 is 216. So, the common denominator of 108 and 427 is 216. Now change the fractions into equivalent fractions with common denominator

    • 108 - 427
    • 10 * 278 * 27 - 4 * 827 * 8
    • 270216 - 32216
  2. Subtract

    • 270216 - 32216
    • 270 - 32216
    • 238216

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

Simplify

  • 238216
  • 119108
  • 1 11108
  1. Reduce fraction to its lowest terms

    • 238216
    • 238 ÷ 2216 ÷ 2
    • 119108

    The greatest common divisor of 238 and 216 is 2, the fraction 238216 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 119108 to mixed number

    • 119108
    • 1 11108

    119 divided by 108 is 1 with a remainder of 11