What is 1/15-1/23?

How much is 115 minus 123. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 8345
  • 0.0232 (rounded to 4 decimals)

Step by step solution

Subtract

115 - 123 = 8345

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

    Multiples of 15 are   15, 30, 45, 60, 75, 90, 105, ..., 345 ....etc

    Multiples of 23 are   23, 46, 69, 92, 115, 138, 161, ..., 345 ...etc

    The LCM of 15 and 23 is 345. So, the common denominator of 115 and 123 is 345. Now change the fractions into equivalent fractions with common denominator

    • 115 - 123
    • 1 * 2315 * 23 - 1 * 1523 * 15
    • 23345 - 15345
  2. Subtract

    • 23345 - 15345
    • 23 - 15345
    • 8345

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • 8345
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 8 and 345 is 1, the fraction 8345 cannot be further simplified or reduced to lowest terms