What is 20/17+23/22?

How much is 2017 plus 2322. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 831374
  • 2 83374
  • 2.2219 (rounded to 4 decimals)

Step by step solution

Add

2017 + 2322 = 831374

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

    Multiples of 17 are   17, 34, 51, 68, 85, 102, 119, ..., 374 ....etc

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154, ..., 374 ...etc

    The LCM of 17 and 22 is 374. So, the common denominator of 2017 and 2322 is 374. Now change the fractions into equivalent fractions with common denominator

    • 2017 + 2322
    • 20 * 2217 * 22 + 23 * 1722 * 17
    • 440374 + 391374
  2. Add

    • 440374 + 391374
    • 440 + 391374
    • 831374

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

Simplify

  • 831374
  • 2 83374
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 831 and 374 is 1, the fraction 831374 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 831374 to mixed number

    • 831374
    • 2 83374

    831 divided by 374 is 2 with a remainder of 83