What is 1/17+13/24?

How much is 117 plus 1324. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 245408
  • 0.6005 (rounded to 4 decimals)

Step by step solution

Add

117 + 1324 = 245408

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

    Multiples of 17 are   17, 34, 51, 68, 85, 102, 119, ..., 408 ....etc

    Multiples of 24 are   24, 48, 72, 96, 120, 144, 168, ..., 408 ...etc

    The LCM of 17 and 24 is 408. So, the common denominator of 117 and 1324 is 408. Now change the fractions into equivalent fractions with common denominator

    • 117 + 1324
    • 1 * 2417 * 24 + 13 * 1724 * 17
    • 24408 + 221408
  2. Add

    • 24408 + 221408
    • 24 + 221408
    • 245408

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

Simplify

  • 245408
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 245 and 408 is 1, the fraction 245408 cannot be further simplified or reduced to lowest terms