What is 13/13-6/28?

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

  • 1114
  • 0.7857 (rounded to 4 decimals)

Step by step solution

Subtract

1313 - 628 = 286364

  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. Subtract

    • 364364 - 78364
    • 364 - 78364
    • 286364

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • 286364
  • 1114
  1. Reduce fraction to its lowest terms

    • 286364
    • 286 ÷ 26364 ÷ 26
    • 1114

    The greatest common divisor of 286 and 364 is 26, the fraction 286364 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 26.