What is 3/26-9/10?

How much is 326 minus 910. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 5165
  • 0.7846 (rounded to 4 decimals)

Step by step solution

Subtract

326 - 910 = - 102130

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

    Multiples of 26 are   26, 52, 78, 104, 130 ....etc

    Multiples of 10 are   10, 20, 30, 40, 50, 60, 70, ..., 130 ...etc

    The LCM of 26 and 10 is 130. So, the common denominator of 326 and 910 is 130. Now change the fractions into equivalent fractions with common denominator

    • 326 - 910
    • 3 * 526 * 5 - 9 * 1310 * 13
    • 15130 - 117130
  2. Subtract

    • 15130 - 117130
    • 15 - 117130
    • - 102130

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

Simplify

  • - 102130
  • - 5165
  1. Reduce fraction to its lowest terms

    • - 102130
    • - 102 ÷ 2130 ÷ 2
    • - 5165

    The greatest common divisor of 102 and 130 is 2, the fraction - 102130 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.