What is 14/19+6/12?

How much is 1419 plus 612. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4738
  • 1 938
  • 1.2368 (rounded to 4 decimals)

Step by step solution

Add

1419 + 612 = 282228

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

    Multiples of 19 are   19, 38, 57, 76, 95, 114, 133, ..., 228 ....etc

    Multiples of 12 are   12, 24, 36, 48, 60, 72, 84, ..., 228 ...etc

    The LCM of 19 and 12 is 228. So, the common denominator of 1419 and 612 is 228. Now change the fractions into equivalent fractions with common denominator

    • 1419 + 612
    • 14 * 1219 * 12 + 6 * 1912 * 19
    • 168228 + 114228
  2. Add

    • 168228 + 114228
    • 168 + 114228
    • 282228

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

Simplify

  • 282228
  • 4738
  • 1 938
  1. Reduce fraction to its lowest terms

    • 282228
    • 282 ÷ 6228 ÷ 6
    • 4738

    The greatest common divisor of 282 and 228 is 6, the fraction 282228 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 4738 to mixed number

    • 4738
    • 1 938

    47 divided by 38 is 1 with a remainder of 9