What is 21/13+4/28?

How much is 2113 plus 428. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 16091
  • 1 6991
  • 1.7582 (rounded to 4 decimals)

Step by step solution

Add

2113 + 428 = 640364

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

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

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

    The LCM of 13 and 28 is 364. So, the common denominator of 2113 and 428 is 364. Now change the fractions into equivalent fractions with common denominator

    • 2113 + 428
    • 21 * 2813 * 28 + 4 * 1328 * 13
    • 588364 + 52364
  2. Add

    • 588364 + 52364
    • 588 + 52364
    • 640364

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

Simplify

  • 640364
  • 16091
  • 1 6991
  1. Reduce fraction to its lowest terms

    • 640364
    • 640 ÷ 4364 ÷ 4
    • 16091

    The greatest common divisor of 640 and 364 is 4, the fraction 640364 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 4.

  2. Convert improper fraction 16091 to mixed number

    • 16091
    • 1 6991

    160 divided by 91 is 1 with a remainder of 69