What is 22/27+6/20?

How much is 2227 plus 620. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 301270
  • 1 31270
  • 1.1148 (rounded to 4 decimals)

Step by step solution

Add

2227 + 620 = 602540

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

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 540 ....etc

    Multiples of 20 are   20, 40, 60, 80, 100, 120, 140, ..., 540 ...etc

    The LCM of 27 and 20 is 540. So, the common denominator of 2227 and 620 is 540. Now change the fractions into equivalent fractions with common denominator

    • 2227 + 620
    • 22 * 2027 * 20 + 6 * 2720 * 27
    • 440540 + 162540
  2. Add

    • 440540 + 162540
    • 440 + 162540
    • 602540

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

Simplify

  • 602540
  • 301270
  • 1 31270
  1. Reduce fraction to its lowest terms

    • 602540
    • 602 ÷ 2540 ÷ 2
    • 301270

    The greatest common divisor of 602 and 540 is 2, the fraction 602540 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 301270 to mixed number

    • 301270
    • 1 31270

    301 divided by 270 is 1 with a remainder of 31