What is 10/26-3/3?

How much is 1026 minus 33. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 813
  • 0.6154 (rounded to 4 decimals)

Step by step solution

Subtract

1026 - 33 = - 4878

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

    Multiples of 26 are   26, 52, 78 ....etc

    Multiples of 3 are   3, 6, 9, 12, 15, 18, 21, 24, ..., 78 ...etc

    The LCM of 26 and 3 is 78. So, the common denominator of 1026 and 33 is 78. Now change the fractions into equivalent fractions with common denominator

    • 1026 - 33
    • 10 * 326 * 3 - 3 * 263 * 26
    • 3078 - 7878
  2. Subtract

    • 3078 - 7878
    • 30 - 7878
    • - 4878

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

Simplify

  • - 4878
  • - 813
  1. Reduce fraction to its lowest terms

    • - 4878
    • - 48 ÷ 678 ÷ 6
    • - 813

    The greatest common divisor of 48 and 78 is 6, the fraction - 4878 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.