What is 23/16-6/27?

How much is 2316 minus 627. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 175144
  • 1 31144
  • 1.2153 (rounded to 4 decimals)

Step by step solution

Subtract

2316 - 627 = 525432

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

    Multiples of 16 are   16, 32, 48, 64, 80, 96, 112, ..., 432 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 432 ...etc

    The LCM of 16 and 27 is 432. So, the common denominator of 2316 and 627 is 432. Now change the fractions into equivalent fractions with common denominator

    • 2316 - 627
    • 23 * 2716 * 27 - 6 * 1627 * 16
    • 621432 - 96432
  2. Subtract

    • 621432 - 96432
    • 621 - 96432
    • 525432

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

Simplify

  • 525432
  • 175144
  • 1 31144
  1. Reduce fraction to its lowest terms

    • 525432
    • 525 ÷ 3432 ÷ 3
    • 175144

    The greatest common divisor of 525 and 432 is 3, the fraction 525432 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 175144 to mixed number

    • 175144
    • 1 31144

    175 divided by 144 is 1 with a remainder of 31