What is 3/29-19/14?

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

  • - 509406
  • - 1 103406
  • 1.2537 (rounded to 4 decimals)

Step by step solution

Subtract

329 - 1914 = - 509406

  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. Subtract

    • 42406 - 551406
    • 42 - 551406
    • - 509406

    Subtract the numerators and place the difference over the common denominator.

Simplify

  • - 509406
  • - 1 103406
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 509 and 406 is 1, the fraction - 509406 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction - 509406 to mixed number

    • - 509406
    • - 1 103406

    509 divided by 406 is 1 with a remainder of 103