What is 13/8+3/26?

How much is 138 plus 326. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 181104
  • 1 77104
  • 1.7404 (rounded to 4 decimals)

Step by step solution

Add

138 + 326 = 181104

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

    Multiples of 8 are   8, 16, 24, 32, 40, 48, 56, 64, ..., 104 ....etc

    Multiples of 26 are   26, 52, 78, 104 ...etc

    The LCM of 8 and 26 is 104. So, the common denominator of 138 and 326 is 104. Now change the fractions into equivalent fractions with common denominator

    • 138 + 326
    • 13 * 138 * 13 + 3 * 426 * 4
    • 169104 + 12104
  2. Add

    • 169104 + 12104
    • 169 + 12104
    • 181104

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

Simplify

  • 181104
  • 1 77104
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 181 and 104 is 1, the fraction 181104 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 181104 to mixed number

    • 181104
    • 1 77104

    181 divided by 104 is 1 with a remainder of 77