What is 10/29-1/6?

How much is 1029 minus 16. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 31174
  • 0.1782 (rounded to 4 decimals)

Step by step solution

Subtract

1029 - 16 = 31174

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

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

    Multiples of 6 are   6, 12, 18, 24, 30, 36, 42, 48, ..., 174 ...etc

    The LCM of 29 and 6 is 174. So, the common denominator of 1029 and 16 is 174. Now change the fractions into equivalent fractions with common denominator

    • 1029 - 16
    • 10 * 629 * 6 - 1 * 296 * 29
    • 60174 - 29174
  2. Subtract

    • 60174 - 29174
    • 60 - 29174
    • 31174

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

Simplify

  • 31174
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 31 and 174 is 1, the fraction 31174 cannot be further simplified or reduced to lowest terms