What is 4/29+11/4?

How much is 429 plus 114. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 335116
  • 2 103116
  • 2.8879 (rounded to 4 decimals)

Step by step solution

Add

429 + 114 = 335116

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

    Multiples of 29 are   29, 58, 87, 116 ....etc

    Multiples of 4 are   4, 8, 12, 16, 20, 24, 28, 32, ..., 116 ...etc

    The LCM of 29 and 4 is 116. So, the common denominator of 429 and 114 is 116. Now change the fractions into equivalent fractions with common denominator

    • 429 + 114
    • 4 * 429 * 4 + 11 * 294 * 29
    • 16116 + 319116
  2. Add

    • 16116 + 319116
    • 16 + 319116
    • 335116

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

Simplify

  • 335116
  • 2 103116
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 335 and 116 is 1, the fraction 335116 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 335116 to mixed number

    • 335116
    • 2 103116

    335 divided by 116 is 2 with a remainder of 103