What is 7/28-7/24?

How much is 728 minus 724. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 124
  • 0.0417 (rounded to 4 decimals)

Step by step solution

Subtract

728 - 724 = - 7168

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

    Multiples of 28 are   28, 56, 84, 112, 140, 168 ....etc

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

    The LCM of 28 and 24 is 168. So, the common denominator of 728 and 724 is 168. Now change the fractions into equivalent fractions with common denominator

    • 728 - 724
    • 7 * 628 * 6 - 7 * 724 * 7
    • 42168 - 49168
  2. Subtract

    • 42168 - 49168
    • 42 - 49168
    • - 7168

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

Simplify

  • - 7168
  • - 124
  1. Reduce fraction to its lowest terms

    • - 7168
    • - 7 ÷ 7168 ÷ 7
    • - 124

    The greatest common divisor of 7 and 168 is 7, the fraction - 7168 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.