What is 12/21-16/6?

How much is 1221 minus 166. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 4421
  • - 2 221
  • 2.0952 (rounded to 4 decimals)

Step by step solution

Subtract

1221 - 166 = - 8842

  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 1221 and 166 is 42. Now change the fractions into equivalent fractions with common denominator

    • 1221 - 166
    • 12 * 221 * 2 - 16 * 76 * 7
    • 2442 - 11242
  2. Subtract

    • 2442 - 11242
    • 24 - 11242
    • - 8842

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

Simplify

  • - 8842
  • - 4421
  • - 2 221
  1. Reduce fraction to its lowest terms

    • - 8842
    • - 88 ÷ 242 ÷ 2
    • - 4421

    The greatest common divisor of 88 and 42 is 2, the fraction - 8842 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 4421 to mixed number

    • - 4421
    • - 2 221

    44 divided by 21 is 2 with a remainder of 2