What is 11/3-9/22?

How much is 113 minus 922. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 21566
  • 3 1766
  • 3.2576 (rounded to 4 decimals)

Step by step solution

Subtract

113 - 922 = 21566

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

    Multiples of 3 are   3, 6, 9, 12, 15, 18, 21, 24, ..., 66 ....etc

    Multiples of 22 are   22, 44, 66 ...etc

    The LCM of 3 and 22 is 66. So, the common denominator of 113 and 922 is 66. Now change the fractions into equivalent fractions with common denominator

    • 113 - 922
    • 11 * 223 * 22 - 9 * 322 * 3
    • 24266 - 2766
  2. Subtract

    • 24266 - 2766
    • 242 - 2766
    • 21566

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

Simplify

  • 21566
  • 3 1766
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 215 and 66 is 1, the fraction 21566 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 21566 to mixed number

    • 21566
    • 3 1766

    215 divided by 66 is 3 with a remainder of 17