What is 13/13+6/28?

How much is 1313 plus 628. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 1714
  • 1 314
  • 1.2143 (rounded to 4 decimals)

Step by step solution

Add

1313 + 628 = 442364

  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 1313 and 628 is 364. Now change the fractions into equivalent fractions with common denominator

    • 1313 + 628
    • 13 * 2813 * 28 + 6 * 1328 * 13
    • 364364 + 78364
  2. Add

    • 364364 + 78364
    • 364 + 78364
    • 442364

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

Simplify

  • 442364
  • 1714
  • 1 314
  1. Reduce fraction to its lowest terms

    • 442364
    • 442 ÷ 26364 ÷ 26
    • 1714

    The greatest common divisor of 442 and 364 is 26, the fraction 442364 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 26.

  2. Convert improper fraction 1714 to mixed number

    • 1714
    • 1 314

    17 divided by 14 is 1 with a remainder of 3