What is 23/27+16/29?

How much is 2327 plus 1629. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 1099783
  • 1 316783
  • 1.4036 (rounded to 4 decimals)

Step by step solution

Add

2327 + 1629 = 1099783

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

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 783 ....etc

    Multiples of 29 are   29, 58, 87, 116, 145, 174, ..., 783 ...etc

    The LCM of 27 and 29 is 783. So, the common denominator of 2327 and 1629 is 783. Now change the fractions into equivalent fractions with common denominator

    • 2327 + 1629
    • 23 * 2927 * 29 + 16 * 2729 * 27
    • 667783 + 432783
  2. Add

    • 667783 + 432783
    • 667 + 432783
    • 1099783

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

Simplify

  • 1099783
  • 1 316783
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 1099 and 783 is 1, the fraction 1099783 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 1099783 to mixed number

    • 1099783
    • 1 316783

    1099 divided by 783 is 1 with a remainder of 316