What is 3/29+19/14?

How much is 329 plus 1914. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 593406
  • 1 187406
  • 1.4606 (rounded to 4 decimals)

Step by step solution

Add

329 + 1914 = 593406

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

    Multiples of 29 are   29, 58, 87, 116, 145, 174, ..., 406 ....etc

    Multiples of 14 are   14, 28, 42, 56, 70, 84, 98, ..., 406 ...etc

    The LCM of 29 and 14 is 406. So, the common denominator of 329 and 1914 is 406. Now change the fractions into equivalent fractions with common denominator

    • 329 + 1914
    • 3 * 1429 * 14 + 19 * 2914 * 29
    • 42406 + 551406
  2. Add

    • 42406 + 551406
    • 42 + 551406
    • 593406

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

Simplify

  • 593406
  • 1 187406
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 593 and 406 is 1, the fraction 593406 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 593406 to mixed number

    • 593406
    • 1 187406

    593 divided by 406 is 1 with a remainder of 187