What is 4/23-14/30?

How much is 423 minus 1430. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • - 101345
  • 0.2928 (rounded to 4 decimals)

Step by step solution

Subtract

423 - 1430 = - 202690

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

    Multiples of 23 are   23, 46, 69, 92, 115, 138, 161, ..., 690 ....etc

    Multiples of 30 are   30, 60, 90, 120, 150, 180, ..., 690 ...etc

    The LCM of 23 and 30 is 690. So, the common denominator of 423 and 1430 is 690. Now change the fractions into equivalent fractions with common denominator

    • 423 - 1430
    • 4 * 3023 * 30 - 14 * 2330 * 23
    • 120690 - 322690
  2. Subtract

    • 120690 - 322690
    • 120 - 322690
    • - 202690

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

Simplify

  • - 202690
  • - 101345
  1. Reduce fraction to its lowest terms

    • - 202690
    • - 202 ÷ 2690 ÷ 2
    • - 101345

    The greatest common divisor of 202 and 690 is 2, the fraction - 202690 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.