What is 5/22-21/7?

How much is 522 minus 217. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 6122
  • - 2 1722
  • 2.7727 (rounded to 4 decimals)

Step by step solution

Subtract

522 - 217 = - 427154

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

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154 ....etc

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 154 ...etc

    The LCM of 22 and 7 is 154. So, the common denominator of 522 and 217 is 154. Now change the fractions into equivalent fractions with common denominator

    • 522 - 217
    • 5 * 722 * 7 - 21 * 227 * 22
    • 35154 - 462154
  2. Subtract

    • 35154 - 462154
    • 35 - 462154
    • - 427154

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

Simplify

  • - 427154
  • - 6122
  • - 2 1722
  1. Reduce fraction to its lowest terms

    • - 427154
    • - 427 ÷ 7154 ÷ 7
    • - 6122

    The greatest common divisor of 427 and 154 is 7, the fraction - 427154 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.

  2. Convert improper fraction 6122 to mixed number

    • - 6122
    • - 2 1722

    61 divided by 22 is 2 with a remainder of 17