What is 21/17+8/27?

How much is 2117 plus 827. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 703459
  • 1 244459
  • 1.5316 (rounded to 4 decimals)

Step by step solution

Add

2117 + 827 = 703459

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

    Multiples of 17 are   17, 34, 51, 68, 85, 102, 119, ..., 459 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 459 ...etc

    The LCM of 17 and 27 is 459. So, the common denominator of 2117 and 827 is 459. Now change the fractions into equivalent fractions with common denominator

    • 2117 + 827
    • 21 * 2717 * 27 + 8 * 1727 * 17
    • 567459 + 136459
  2. Add

    • 567459 + 136459
    • 567 + 136459
    • 703459

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

Simplify

  • 703459
  • 1 244459
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 703 and 459 is 1, the fraction 703459 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 703459 to mixed number

    • 703459
    • 1 244459

    703 divided by 459 is 1 with a remainder of 244