What is 14/18+23/16?

How much is 1418 plus 2316. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 319144
  • 2 31144
  • 2.2153 (rounded to 4 decimals)

Step by step solution

Add

1418 + 2316 = 319144

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

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

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

    The LCM of 18 and 16 is 144. So, the common denominator of 1418 and 2316 is 144. Now change the fractions into equivalent fractions with common denominator

    • 1418 + 2316
    • 14 * 818 * 8 + 23 * 916 * 9
    • 112144 + 207144
  2. Add

    • 112144 + 207144
    • 112 + 207144
    • 319144

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

Simplify

  • 319144
  • 2 31144
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 319 and 144 is 1, the fraction 319144 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 319144 to mixed number

    • 319144
    • 2 31144

    319 divided by 144 is 2 with a remainder of 31