What is 10/5+11/18?

How much is 105 plus 1118. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4718
  • 2 1118
  • 2.6111 (rounded to 4 decimals)

Step by step solution

Add

105 + 1118 = 23590

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

    Multiples of 5 are   5, 10, 15, 20, 25, 30, 35, 40, ..., 90 ....etc

    Multiples of 18 are   18, 36, 54, 72, 90 ...etc

    The LCM of 5 and 18 is 90. So, the common denominator of 105 and 1118 is 90. Now change the fractions into equivalent fractions with common denominator

    • 105 + 1118
    • 10 * 185 * 18 + 11 * 518 * 5
    • 18090 + 5590
  2. Add

    • 18090 + 5590
    • 180 + 5590
    • 23590

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

Simplify

  • 23590
  • 4718
  • 2 1118
  1. Reduce fraction to its lowest terms

    • 23590
    • 235 ÷ 590 ÷ 5
    • 4718

    The greatest common divisor of 235 and 90 is 5, the fraction 23590 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 5.

  2. Convert improper fraction 4718 to mixed number

    • 4718
    • 2 1118

    47 divided by 18 is 2 with a remainder of 11