What is 9/16-5/13?

How much is 916 minus 513. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 37208
  • 0.1779 (rounded to 4 decimals)

Step by step solution

Subtract

916 - 513 = 37208

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

    Multiples of 16 are   16, 32, 48, 64, 80, 96, 112, ..., 208 ....etc

    Multiples of 13 are   13, 26, 39, 52, 65, 78, 91, ..., 208 ...etc

    The LCM of 16 and 13 is 208. So, the common denominator of 916 and 513 is 208. Now change the fractions into equivalent fractions with common denominator

    • 916 - 513
    • 9 * 1316 * 13 - 5 * 1613 * 16
    • 117208 - 80208
  2. Subtract

    • 117208 - 80208
    • 117 - 80208
    • 37208

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

Simplify

  • 37208
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 37 and 208 is 1, the fraction 37208 cannot be further simplified or reduced to lowest terms