What is 6/10-5/23?

How much is 610 minus 523. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 44115
  • 0.3826 (rounded to 4 decimals)

Step by step solution

Subtract

610 - 523 = 88230

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

    Multiples of 10 are   10, 20, 30, 40, 50, 60, 70, ..., 230 ....etc

    Multiples of 23 are   23, 46, 69, 92, 115, 138, 161, ..., 230 ...etc

    The LCM of 10 and 23 is 230. So, the common denominator of 610 and 523 is 230. Now change the fractions into equivalent fractions with common denominator

    • 610 - 523
    • 6 * 2310 * 23 - 5 * 1023 * 10
    • 138230 - 50230
  2. Subtract

    • 138230 - 50230
    • 138 - 50230
    • 88230

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

Simplify

  • 88230
  • 44115
  1. Reduce fraction to its lowest terms

    • 88230
    • 88 ÷ 2230 ÷ 2
    • 44115

    The greatest common divisor of 88 and 230 is 2, the fraction 88230 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.