What is 4/29-11/4?

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

  • - 303116
  • - 2 71116
  • 2.6121 (rounded to 4 decimals)

Step by step solution

Subtract

429 - 114 = - 303116

  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. Subtract

    • 16116 - 319116
    • 16 - 319116
    • - 303116

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

Simplify

  • - 303116
  • - 2 71116
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 303 and 116 is 1, the fraction - 303116 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction - 303116 to mixed number

    • - 303116
    • - 2 71116

    303 divided by 116 is 2 with a remainder of 71