What is 7/14-12/21?

How much is 714 minus 1221. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 114
  • 0.0714 (rounded to 4 decimals)

Step by step solution

Subtract

714 - 1221 = - 342

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

    Multiples of 14 are   14, 28, 42 ....etc

    Multiples of 21 are   21, 42 ...etc

    The LCM of 14 and 21 is 42. So, the common denominator of 714 and 1221 is 42. Now change the fractions into equivalent fractions with common denominator

    • 714 - 1221
    • 7 * 314 * 3 - 12 * 221 * 2
    • 2142 - 2442
  2. Subtract

    • 2142 - 2442
    • 21 - 2442
    • - 342

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

Simplify

  • - 342
  • - 114
  1. Reduce fraction to its lowest terms

    • - 342
    • - 3 ÷ 342 ÷ 3
    • - 114

    The greatest common divisor of 3 and 42 is 3, the fraction - 342 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.