What is 14/4+22/3?

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

  • 656
  • 10 56
  • 10.8333 (rounded to 4 decimals)

Step by step solution

Add

144 + 223 = 13012

  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. Add

    • 4212 + 8812
    • 42 + 8812
    • 13012

    Add the numerators and place the sum over the common denominator.

Simplify

  • 13012
  • 656
  • 10 56
  1. Reduce fraction to its lowest terms

    • 13012
    • 130 ÷ 212 ÷ 2
    • 656

    The greatest common divisor of 130 and 12 is 2, the fraction 13012 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 656 to mixed number

    • 656
    • 10 56

    65 divided by 6 is 10 with a remainder of 5