What is 18/7+3/11?

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

  • 21977
  • 2 6577
  • 2.8442 (rounded to 4 decimals)

Step by step solution

Add

187 + 311 = 21977

  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. Add

    • 19877 + 2177
    • 198 + 2177
    • 21977

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

Simplify

  • 21977
  • 2 6577
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 219 and 77 is 1, the fraction 21977 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 21977 to mixed number

    • 21977
    • 2 6577

    219 divided by 77 is 2 with a remainder of 65