What is 24/28+19/13?

How much is 2428 plus 1913. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 21191
  • 2 2991
  • 2.3187 (rounded to 4 decimals)

Step by step solution

Add

2428 + 1913 = 844364

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

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 364 ....etc

    Multiples of 13 are   13, 26, 39, 52, 65, 78, 91, ..., 364 ...etc

    The LCM of 28 and 13 is 364. So, the common denominator of 2428 and 1913 is 364. Now change the fractions into equivalent fractions with common denominator

    • 2428 + 1913
    • 24 * 1328 * 13 + 19 * 2813 * 28
    • 312364 + 532364
  2. Add

    • 312364 + 532364
    • 312 + 532364
    • 844364

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

Simplify

  • 844364
  • 21191
  • 2 2991
  1. Reduce fraction to its lowest terms

    • 844364
    • 844 ÷ 4364 ÷ 4
    • 21191

    The greatest common divisor of 844 and 364 is 4, the fraction 844364 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 4.

  2. Convert improper fraction 21191 to mixed number

    • 21191
    • 2 2991

    211 divided by 91 is 2 with a remainder of 29