What is 15/29+13/26?

How much is 1529 plus 1326. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 5958
  • 1 158
  • 1.0172 (rounded to 4 decimals)

Step by step solution

Add

1529 + 1326 = 767754

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

    Multiples of 29 are   29, 58, 87, 116, 145, 174, ..., 754 ....etc

    Multiples of 26 are   26, 52, 78, 104, 130, 156, ..., 754 ...etc

    The LCM of 29 and 26 is 754. So, the common denominator of 1529 and 1326 is 754. Now change the fractions into equivalent fractions with common denominator

    • 1529 + 1326
    • 15 * 2629 * 26 + 13 * 2926 * 29
    • 390754 + 377754
  2. Add

    • 390754 + 377754
    • 390 + 377754
    • 767754

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

Simplify

  • 767754
  • 5958
  • 1 158
  1. Reduce fraction to its lowest terms

    • 767754
    • 767 ÷ 13754 ÷ 13
    • 5958

    The greatest common divisor of 767 and 754 is 13, the fraction 767754 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 13.

  2. Convert improper fraction 5958 to mixed number

    • 5958
    • 1 158

    59 divided by 58 is 1 with a remainder of 1