What is 18/7-3/11?

How much is 187 minus 311. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 17777
  • 2 2377
  • 2.2987 (rounded to 4 decimals)

Step by step solution

Subtract

187 - 311 = 17777

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

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 77 ....etc

    Multiples of 11 are   11, 22, 33, 44, 55, 66, 77 ...etc

    The LCM of 7 and 11 is 77. So, the common denominator of 187 and 311 is 77. Now change the fractions into equivalent fractions with common denominator

    • 187 - 311
    • 18 * 117 * 11 - 3 * 711 * 7
    • 19877 - 2177
  2. Subtract

    • 19877 - 2177
    • 198 - 2177
    • 17777

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

Simplify

  • 17777
  • 2 2377
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 177 and 77 is 1, the fraction 17777 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 17777 to mixed number

    • 17777
    • 2 2377

    177 divided by 77 is 2 with a remainder of 23