What is 25/22+22/24?

How much is 2522 plus 2224. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 271132
  • 2 7132
  • 2.053 (rounded to 4 decimals)

Step by step solution

Add

2522 + 2224 = 542264

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

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154, ..., 264 ....etc

    Multiples of 24 are   24, 48, 72, 96, 120, 144, 168, ..., 264 ...etc

    The LCM of 22 and 24 is 264. So, the common denominator of 2522 and 2224 is 264. Now change the fractions into equivalent fractions with common denominator

    • 2522 + 2224
    • 25 * 1222 * 12 + 22 * 1124 * 11
    • 300264 + 242264
  2. Add

    • 300264 + 242264
    • 300 + 242264
    • 542264

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

Simplify

  • 542264
  • 271132
  • 2 7132
  1. Reduce fraction to its lowest terms

    • 542264
    • 542 ÷ 2264 ÷ 2
    • 271132

    The greatest common divisor of 542 and 264 is 2, the fraction 542264 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 271132 to mixed number

    • 271132
    • 2 7132

    271 divided by 132 is 2 with a remainder of 7