What is 10/6-1/30?

How much is 106 minus 130. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4930
  • 1 1930
  • 1.6333 (rounded to 4 decimals)

Step by step solution

Subtract

106 - 130 = 4930

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

    Multiples of 6 are   6, 12, 18, 24, 30 ....etc

    Multiples of 30 are   30 ...etc

    The LCM of 6 and 30 is 30. So, the common denominator of 106 and 130 is 30. Now change the fractions into equivalent fractions with common denominator

    • 106 - 130
    • 10 * 56 * 5 - 1 * 130 * 1
    • 5030 - 130
  2. Subtract

    • 5030 - 130
    • 50 - 130
    • 4930

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

Simplify

  • 4930
  • 1 1930
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 49 and 30 is 1, the fraction 4930 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 4930 to mixed number

    • 4930
    • 1 1930

    49 divided by 30 is 1 with a remainder of 19