What is 2/17-25/3?

How much is 217 minus 253. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 41951
  • - 8 1151
  • 8.2157 (rounded to 4 decimals)

Step by step solution

Subtract

217 - 253 = - 41951

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

    Multiples of 17 are   17, 34, 51 ....etc

    Multiples of 3 are   3, 6, 9, 12, 15, 18, 21, 24, ..., 51 ...etc

    The LCM of 17 and 3 is 51. So, the common denominator of 217 and 253 is 51. Now change the fractions into equivalent fractions with common denominator

    • 217 - 253
    • 2 * 317 * 3 - 25 * 173 * 17
    • 651 - 42551
  2. Subtract

    • 651 - 42551
    • 6 - 42551
    • - 41951

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

Simplify

  • - 41951
  • - 8 1151
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 419 and 51 is 1, the fraction - 41951 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction - 41951 to mixed number

    • - 41951
    • - 8 1151

    419 divided by 51 is 8 with a remainder of 11