What is 18/18+1/19?

How much is 1818 plus 119. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 2019
  • 1 119
  • 1.0526 (rounded to 4 decimals)

Step by step solution

Add

1818 + 119 = 360342

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

    Multiples of 18 are   18, 36, 54, 72, 90, 108, 126, ..., 342 ....etc

    Multiples of 19 are   19, 38, 57, 76, 95, 114, 133, ..., 342 ...etc

    The LCM of 18 and 19 is 342. So, the common denominator of 1818 and 119 is 342. Now change the fractions into equivalent fractions with common denominator

    • 1818 + 119
    • 18 * 1918 * 19 + 1 * 1819 * 18
    • 342342 + 18342
  2. Add

    • 342342 + 18342
    • 342 + 18342
    • 360342

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

Simplify

  • 360342
  • 2019
  • 1 119
  1. Reduce fraction to its lowest terms

    • 360342
    • 360 ÷ 18342 ÷ 18
    • 2019

    The greatest common divisor of 360 and 342 is 18, the fraction 360342 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 18.

  2. Convert improper fraction 2019 to mixed number

    • 2019
    • 1 119

    20 divided by 19 is 1 with a remainder of 1