What is 22/28+18/23?

How much is 2228 plus 1823. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 505322
  • 1 183322
  • 1.5683 (rounded to 4 decimals)

Step by step solution

Add

2228 + 1823 = 1010644

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

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 644 ....etc

    Multiples of 23 are   23, 46, 69, 92, 115, 138, 161, ..., 644 ...etc

    The LCM of 28 and 23 is 644. So, the common denominator of 2228 and 1823 is 644. Now change the fractions into equivalent fractions with common denominator

    • 2228 + 1823
    • 22 * 2328 * 23 + 18 * 2823 * 28
    • 506644 + 504644
  2. Add

    • 506644 + 504644
    • 506 + 504644
    • 1010644

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

Simplify

  • 1010644
  • 505322
  • 1 183322
  1. Reduce fraction to its lowest terms

    • 1010644
    • 1010 ÷ 2644 ÷ 2
    • 505322

    The greatest common divisor of 1010 and 644 is 2, the fraction 1010644 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 505322 to mixed number

    • 505322
    • 1 183322

    505 divided by 322 is 1 with a remainder of 183