What is 3/26+9/10?

How much is 326 plus 910. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 6665
  • 1 165
  • 1.0154 (rounded to 4 decimals)

Step by step solution

Add

326 + 910 = 132130

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

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

    Multiples of 10 are   10, 20, 30, 40, 50, 60, 70, ..., 130 ...etc

    The LCM of 26 and 10 is 130. So, the common denominator of 326 and 910 is 130. Now change the fractions into equivalent fractions with common denominator

    • 326 + 910
    • 3 * 526 * 5 + 9 * 1310 * 13
    • 15130 + 117130
  2. Add

    • 15130 + 117130
    • 15 + 117130
    • 132130

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

Simplify

  • 132130
  • 6665
  • 1 165
  1. Reduce fraction to its lowest terms

    • 132130
    • 132 ÷ 2130 ÷ 2
    • 6665

    The greatest common divisor of 132 and 130 is 2, the fraction 132130 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 6665 to mixed number

    • 6665
    • 1 165

    66 divided by 65 is 1 with a remainder of 1