What is 18/25-24/3?

How much is 1825 minus 243. 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

1825 - 243 = - 54675

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

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

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

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

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

    • 5475 - 60075
    • 54 - 60075
    • - 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