What is 8/19+12/30?

How much is 819 plus 1230. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 7895
  • 0.8211 (rounded to 4 decimals)

Step by step solution

Add

819 + 1230 = 468570

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

    Multiples of 19 are   19, 38, 57, 76, 95, 114, 133, ..., 570 ....etc

    Multiples of 30 are   30, 60, 90, 120, 150, 180, ..., 570 ...etc

    The LCM of 19 and 30 is 570. So, the common denominator of 819 and 1230 is 570. Now change the fractions into equivalent fractions with common denominator

    • 819 + 1230
    • 8 * 3019 * 30 + 12 * 1930 * 19
    • 240570 + 228570
  2. Add

    • 240570 + 228570
    • 240 + 228570
    • 468570

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

Simplify

  • 468570
  • 7895
  1. Reduce fraction to its lowest terms

    • 468570
    • 468 ÷ 6570 ÷ 6
    • 7895

    The greatest common divisor of 468 and 570 is 6, the fraction 468570 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.