What is 23/19+11/24?

How much is 2319 plus 1124. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 761456
  • 1 305456
  • 1.6689 (rounded to 4 decimals)

Step by step solution

Add

2319 + 1124 = 761456

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

    Multiples of 19 are   19, 38, 57, 76, 95, 114, 133, ..., 456 ....etc

    Multiples of 24 are   24, 48, 72, 96, 120, 144, 168, ..., 456 ...etc

    The LCM of 19 and 24 is 456. So, the common denominator of 2319 and 1124 is 456. Now change the fractions into equivalent fractions with common denominator

    • 2319 + 1124
    • 23 * 2419 * 24 + 11 * 1924 * 19
    • 552456 + 209456
  2. Add

    • 552456 + 209456
    • 552 + 209456
    • 761456

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

Simplify

  • 761456
  • 1 305456
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 761 and 456 is 1, the fraction 761456 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 761456 to mixed number

    • 761456
    • 1 305456

    761 divided by 456 is 1 with a remainder of 305