What is 20/15+3/17?

How much is 2015 plus 317. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 7751
  • 1 2651
  • 1.5098 (rounded to 4 decimals)

Step by step solution

Add

2015 + 317 = 385255

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

    Multiples of 15 are   15, 30, 45, 60, 75, 90, 105, ..., 255 ....etc

    Multiples of 17 are   17, 34, 51, 68, 85, 102, 119, ..., 255 ...etc

    The LCM of 15 and 17 is 255. So, the common denominator of 2015 and 317 is 255. Now change the fractions into equivalent fractions with common denominator

    • 2015 + 317
    • 20 * 1715 * 17 + 3 * 1517 * 15
    • 340255 + 45255
  2. Add

    • 340255 + 45255
    • 340 + 45255
    • 385255

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

Simplify

  • 385255
  • 7751
  • 1 2651
  1. Reduce fraction to its lowest terms

    • 385255
    • 385 ÷ 5255 ÷ 5
    • 7751

    The greatest common divisor of 385 and 255 is 5, the fraction 385255 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 5.

  2. Convert improper fraction 7751 to mixed number

    • 7751
    • 1 2651

    77 divided by 51 is 1 with a remainder of 26