What is 19/28+12/27?

How much is 1928 plus 1227. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 283252
  • 1 31252
  • 1.123 (rounded to 4 decimals)

Step by step solution

Add

1928 + 1227 = 849756

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

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 756 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 756 ...etc

    The LCM of 28 and 27 is 756. So, the common denominator of 1928 and 1227 is 756. Now change the fractions into equivalent fractions with common denominator

    • 1928 + 1227
    • 19 * 2728 * 27 + 12 * 2827 * 28
    • 513756 + 336756
  2. Add

    • 513756 + 336756
    • 513 + 336756
    • 849756

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

Simplify

  • 849756
  • 283252
  • 1 31252
  1. Reduce fraction to its lowest terms

    • 849756
    • 849 ÷ 3756 ÷ 3
    • 283252

    The greatest common divisor of 849 and 756 is 3, the fraction 849756 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 283252 to mixed number

    • 283252
    • 1 31252

    283 divided by 252 is 1 with a remainder of 31