What is 21/27+2/12?

How much is 2127 plus 212. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 1718
  • 0.9444 (rounded to 4 decimals)

Step by step solution

Add

2127 + 212 = 102108

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

    Multiples of 27 are   27, 54, 81, 108 ....etc

    Multiples of 12 are   12, 24, 36, 48, 60, 72, 84, ..., 108 ...etc

    The LCM of 27 and 12 is 108. So, the common denominator of 2127 and 212 is 108. Now change the fractions into equivalent fractions with common denominator

    • 2127 + 212
    • 21 * 427 * 4 + 2 * 912 * 9
    • 84108 + 18108
  2. Add

    • 84108 + 18108
    • 84 + 18108
    • 102108

    Add the numerators and place the sum over the common denominator.

Simplify

  • 102108
  • 1718
  1. Reduce fraction to its lowest terms

    • 102108
    • 102 ÷ 6108 ÷ 6
    • 1718

    The greatest common divisor of 102 and 108 is 6, the fraction 102108 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.