What is 24/14+2/27?

How much is 2414 plus 227. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 338189
  • 1 149189
  • 1.7884 (rounded to 4 decimals)

Step by step solution

Add

2414 + 227 = 676378

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

    Multiples of 14 are   14, 28, 42, 56, 70, 84, 98, ..., 378 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 378 ...etc

    The LCM of 14 and 27 is 378. So, the common denominator of 2414 and 227 is 378. Now change the fractions into equivalent fractions with common denominator

    • 2414 + 227
    • 24 * 2714 * 27 + 2 * 1427 * 14
    • 648378 + 28378
  2. Add

    • 648378 + 28378
    • 648 + 28378
    • 676378

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

Simplify

  • 676378
  • 338189
  • 1 149189
  1. Reduce fraction to its lowest terms

    • 676378
    • 676 ÷ 2378 ÷ 2
    • 338189

    The greatest common divisor of 676 and 378 is 2, the fraction 676378 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 338189 to mixed number

    • 338189
    • 1 149189

    338 divided by 189 is 1 with a remainder of 149