What is 11/19+24/30?

How much is 1119 plus 2430. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 13195
  • 1 3695
  • 1.3789 (rounded to 4 decimals)

Step by step solution

Add

1119 + 2430 = 786570

  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 1119 and 2430 is 570. Now change the fractions into equivalent fractions with common denominator

    • 1119 + 2430
    • 11 * 3019 * 30 + 24 * 1930 * 19
    • 330570 + 456570
  2. Add

    • 330570 + 456570
    • 330 + 456570
    • 786570

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

Simplify

  • 786570
  • 13195
  • 1 3695
  1. Reduce fraction to its lowest terms

    • 786570
    • 786 ÷ 6570 ÷ 6
    • 13195

    The greatest common divisor of 786 and 570 is 6, the fraction 786570 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 13195 to mixed number

    • 13195
    • 1 3695

    131 divided by 95 is 1 with a remainder of 36