What is 4/23+14/30?

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

  • 221345
  • 0.6406 (rounded to 4 decimals)

Step by step solution

Add

423 + 1430 = 442690

  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. Add

    • 120690 + 322690
    • 120 + 322690
    • 442690

    Add the numerators and place the sum over the common denominator.

Simplify

  • 442690
  • 221345
  1. Reduce fraction to its lowest terms

    • 442690
    • 442 ÷ 2690 ÷ 2
    • 221345

    The greatest common divisor of 442 and 690 is 2, the fraction 442690 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.