What is 2/21-22/6?

How much is 221 minus 226. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 257
  • - 3 47
  • 3.5714 (rounded to 4 decimals)

Step by step solution

Subtract

221 - 226 = - 15042

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

    Multiples of 21 are   21, 42 ....etc

    Multiples of 6 are   6, 12, 18, 24, 30, 36, 42 ...etc

    The LCM of 21 and 6 is 42. So, the common denominator of 221 and 226 is 42. Now change the fractions into equivalent fractions with common denominator

    • 221 - 226
    • 2 * 221 * 2 - 22 * 76 * 7
    • 442 - 15442
  2. Subtract

    • 442 - 15442
    • 4 - 15442
    • - 15042

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

Simplify

  • - 15042
  • - 257
  • - 3 47
  1. Reduce fraction to its lowest terms

    • - 15042
    • - 150 ÷ 642 ÷ 6
    • - 257

    The greatest common divisor of 150 and 42 is 6, the fraction - 15042 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 257 to mixed number

    • - 257
    • - 3 47

    25 divided by 7 is 3 with a remainder of 4