What is 24/3-18/25?

How much is 243 minus 1825. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 18225
  • 7 725
  • 7.28

Step by step solution

Subtract

243 - 1825 = 54675

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

    Multiples of 3 are   3, 6, 9, 12, 15, 18, 21, 24, ..., 75 ....etc

    Multiples of 25 are   25, 50, 75 ...etc

    The LCM of 3 and 25 is 75. So, the common denominator of 243 and 1825 is 75. Now change the fractions into equivalent fractions with common denominator

    • 243 - 1825
    • 24 * 253 * 25 - 18 * 325 * 3
    • 60075 - 5475
  2. Subtract

    • 60075 - 5475
    • 600 - 5475
    • 54675

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

Simplify

  • 54675
  • 18225
  • 7 725
  1. Reduce fraction to its lowest terms

    • 54675
    • 546 ÷ 375 ÷ 3
    • 18225

    The greatest common divisor of 546 and 75 is 3, the fraction 54675 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 18225 to mixed number

    • 18225
    • 7 725

    182 divided by 25 is 7 with a remainder of 7