What is 3/1+6/24?

How much is 31 plus 624. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 134
  • 3 14
  • 3.25

Step by step solution

Add

31 + 624 = 7824

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

    Multiples of 1 are   1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ..., 24 ....etc

    Multiples of 24 are   24 ...etc

    The LCM of 1 and 24 is 24. So, the common denominator of 31 and 624 is 24. Now change the fractions into equivalent fractions with common denominator

    • 31 + 624
    • 3 * 241 * 24 + 6 * 124 * 1
    • 7224 + 624
  2. Add

    • 7224 + 624
    • 72 + 624
    • 7824

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

Simplify

  • 7824
  • 134
  • 3 14
  1. Reduce fraction to its lowest terms

    • 7824
    • 78 ÷ 624 ÷ 6
    • 134

    The greatest common divisor of 78 and 24 is 6, the fraction 7824 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 134 to mixed number

    • 134
    • 3 14

    13 divided by 4 is 3 with a remainder of 1