What is 7/27+11/22?

How much is 727 plus 1122. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4154
  • 0.7593 (rounded to 4 decimals)

Step by step solution

Add

727 + 1122 = 451594

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

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 594 ....etc

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154, ..., 594 ...etc

    The LCM of 27 and 22 is 594. So, the common denominator of 727 and 1122 is 594. Now change the fractions into equivalent fractions with common denominator

    • 727 + 1122
    • 7 * 2227 * 22 + 11 * 2722 * 27
    • 154594 + 297594
  2. Add

    • 154594 + 297594
    • 154 + 297594
    • 451594

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

Simplify

  • 451594
  • 4154
  1. Reduce fraction to its lowest terms

    • 451594
    • 451 ÷ 11594 ÷ 11
    • 4154

    The greatest common divisor of 451 and 594 is 11, the fraction 451594 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 11.