What is 3/19+24/28?

How much is 319 plus 2428. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 135133
  • 1 2133
  • 1.015 (rounded to 4 decimals)

Step by step solution

Add

319 + 2428 = 540532

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

    Multiples of 19 are   19, 38, 57, 76, 95, 114, 133, ..., 532 ....etc

    Multiples of 28 are   28, 56, 84, 112, 140, 168, ..., 532 ...etc

    The LCM of 19 and 28 is 532. So, the common denominator of 319 and 2428 is 532. Now change the fractions into equivalent fractions with common denominator

    • 319 + 2428
    • 3 * 2819 * 28 + 24 * 1928 * 19
    • 84532 + 456532
  2. Add

    • 84532 + 456532
    • 84 + 456532
    • 540532

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

Simplify

  • 540532
  • 135133
  • 1 2133
  1. Reduce fraction to its lowest terms

    • 540532
    • 540 ÷ 4532 ÷ 4
    • 135133

    The greatest common divisor of 540 and 532 is 4, the fraction 540532 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 4.

  2. Convert improper fraction 135133 to mixed number

    • 135133
    • 1 2133

    135 divided by 133 is 1 with a remainder of 2