What is 4/27+13/7?

How much is 427 plus 137. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 379189
  • 2 1189
  • 2.0053 (rounded to 4 decimals)

Step by step solution

Add

427 + 137 = 379189

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

    Multiples of 27 are   27, 54, 81, 108, 135, 162, 189 ....etc

    Multiples of 7 are   7, 14, 21, 28, 35, 42, 49, 56, ..., 189 ...etc

    The LCM of 27 and 7 is 189. So, the common denominator of 427 and 137 is 189. Now change the fractions into equivalent fractions with common denominator

    • 427 + 137
    • 4 * 727 * 7 + 13 * 277 * 27
    • 28189 + 351189
  2. Add

    • 28189 + 351189
    • 28 + 351189
    • 379189

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

Simplify

  • 379189
  • 2 1189
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 379 and 189 is 1, the fraction 379189 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 379189 to mixed number

    • 379189
    • 2 1189

    379 divided by 189 is 2 with a remainder of 1