What is 17/23+13/29?

How much is 1723 plus 1329. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 792667
  • 1 125667
  • 1.1874 (rounded to 4 decimals)

Step by step solution

Add

1723 + 1329 = 792667

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

    Multiples of 23 are   23, 46, 69, 92, 115, 138, 161, ..., 667 ....etc

    Multiples of 29 are   29, 58, 87, 116, 145, 174, ..., 667 ...etc

    The LCM of 23 and 29 is 667. So, the common denominator of 1723 and 1329 is 667. Now change the fractions into equivalent fractions with common denominator

    • 1723 + 1329
    • 17 * 2923 * 29 + 13 * 2329 * 23
    • 493667 + 299667
  2. Add

    • 493667 + 299667
    • 493 + 299667
    • 792667

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

Simplify

  • 792667
  • 1 125667
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 792 and 667 is 1, the fraction 792667 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 792667 to mixed number

    • 792667
    • 1 125667

    792 divided by 667 is 1 with a remainder of 125