What is 21/7-3/26?

How much is 217 minus 326. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 7526
  • 2 2326
  • 2.8846 (rounded to 4 decimals)

Step by step solution

Subtract

217 - 326 = 525182

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

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 182 ....etc

    Multiples of 26 are   26, 52, 78, 104, 130, 156, 182 ...etc

    The LCM of 7 and 26 is 182. So, the common denominator of 217 and 326 is 182. Now change the fractions into equivalent fractions with common denominator

    • 217 - 326
    • 21 * 267 * 26 - 3 * 726 * 7
    • 546182 - 21182
  2. Subtract

    • 546182 - 21182
    • 546 - 21182
    • 525182

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

Simplify

  • 525182
  • 7526
  • 2 2326
  1. Reduce fraction to its lowest terms

    • 525182
    • 525 ÷ 7182 ÷ 7
    • 7526

    The greatest common divisor of 525 and 182 is 7, the fraction 525182 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.

  2. Convert improper fraction 7526 to mixed number

    • 7526
    • 2 2326

    75 divided by 26 is 2 with a remainder of 23