What is 14/4-22/3?

How much is 144 minus 223. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 236
  • - 3 56
  • 3.8333 (rounded to 4 decimals)

Step by step solution

Subtract

144 - 223 = - 4612

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

    Multiples of 4 are   4, 8, 12 ....etc

    Multiples of 3 are   3, 6, 9, 12 ...etc

    The LCM of 4 and 3 is 12. So, the common denominator of 144 and 223 is 12. Now change the fractions into equivalent fractions with common denominator

    • 144 - 223
    • 14 * 34 * 3 - 22 * 43 * 4
    • 4212 - 8812
  2. Subtract

    • 4212 - 8812
    • 42 - 8812
    • - 4612

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

Simplify

  • - 4612
  • - 236
  • - 3 56
  1. Reduce fraction to its lowest terms

    • - 4612
    • - 46 ÷ 212 ÷ 2
    • - 236

    The greatest common divisor of 46 and 12 is 2, the fraction - 4612 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 236 to mixed number

    • - 236
    • - 3 56

    23 divided by 6 is 3 with a remainder of 5