What is 23/16+6/27?

How much is 2316 plus 627. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 239144
  • 1 95144
  • 1.6597 (rounded to 4 decimals)

Step by step solution

Add

2316 + 627 = 717432

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

    Multiples of 16 are   16, 32, 48, 64, 80, 96, 112, ..., 432 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 432 ...etc

    The LCM of 16 and 27 is 432. So, the common denominator of 2316 and 627 is 432. Now change the fractions into equivalent fractions with common denominator

    • 2316 + 627
    • 23 * 2716 * 27 + 6 * 1627 * 16
    • 621432 + 96432
  2. Add

    • 621432 + 96432
    • 621 + 96432
    • 717432

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

Simplify

  • 717432
  • 239144
  • 1 95144
  1. Reduce fraction to its lowest terms

    • 717432
    • 717 ÷ 3432 ÷ 3
    • 239144

    The greatest common divisor of 717 and 432 is 3, the fraction 717432 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 239144 to mixed number

    • 239144
    • 1 95144

    239 divided by 144 is 1 with a remainder of 95