What is 1/4+20/13?

How much is 14 plus 2013. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 9352
  • 1 4152
  • 1.7885 (rounded to 4 decimals)

Step by step solution

Add

14 + 2013 = 9352

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

    Multiples of 4 are   4, 8, 12, 16, 20, 24, 28, 32, ..., 52 ....etc

    Multiples of 13 are   13, 26, 39, 52 ...etc

    The LCM of 4 and 13 is 52. So, the common denominator of 14 and 2013 is 52. Now change the fractions into equivalent fractions with common denominator

    • 14 + 2013
    • 1 * 134 * 13 + 20 * 413 * 4
    • 1352 + 8052
  2. Add

    • 1352 + 8052
    • 13 + 8052
    • 9352

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

Simplify

  • 9352
  • 1 4152
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 93 and 52 is 1, the fraction 9352 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 9352 to mixed number

    • 9352
    • 1 4152

    93 divided by 52 is 1 with a remainder of 41