What is 14/16+9/18?

How much is 1416 plus 918. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 118
  • 1 38
  • 1.375

Step by step solution

Add

1416 + 918 = 198144

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

    Multiples of 16 are   16, 32, 48, 64, 80, 96, 112, ..., 144 ....etc

    Multiples of 18 are   18, 36, 54, 72, 90, 108, 126, 144 ...etc

    The LCM of 16 and 18 is 144. So, the common denominator of 1416 and 918 is 144. Now change the fractions into equivalent fractions with common denominator

    • 1416 + 918
    • 14 * 916 * 9 + 9 * 818 * 8
    • 126144 + 72144
  2. Add

    • 126144 + 72144
    • 126 + 72144
    • 198144

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

Simplify

  • 198144
  • 118
  • 1 38
  1. Reduce fraction to its lowest terms

    • 198144
    • 198 ÷ 18144 ÷ 18
    • 118

    The greatest common divisor of 198 and 144 is 18, the fraction 198144 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 18.

  2. Convert improper fraction 118 to mixed number

    • 118
    • 1 38

    11 divided by 8 is 1 with a remainder of 3