What is 13/25-24/14?

How much is 1325 minus 2414. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 209175
  • - 1 34175
  • 1.1943 (rounded to 4 decimals)

Step by step solution

Subtract

1325 - 2414 = - 418350

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

    Multiples of 25 are   25, 50, 75, 100, 125, 150, ..., 350 ....etc

    Multiples of 14 are   14, 28, 42, 56, 70, 84, 98, ..., 350 ...etc

    The LCM of 25 and 14 is 350. So, the common denominator of 1325 and 2414 is 350. Now change the fractions into equivalent fractions with common denominator

    • 1325 - 2414
    • 13 * 1425 * 14 - 24 * 2514 * 25
    • 182350 - 600350
  2. Subtract

    • 182350 - 600350
    • 182 - 600350
    • - 418350

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

Simplify

  • - 418350
  • - 209175
  • - 1 34175
  1. Reduce fraction to its lowest terms

    • - 418350
    • - 418 ÷ 2350 ÷ 2
    • - 209175

    The greatest common divisor of 418 and 350 is 2, the fraction - 418350 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 209175 to mixed number

    • - 209175
    • - 1 34175

    209 divided by 175 is 1 with a remainder of 34