What is 10/8+4/27?

How much is 108 plus 427. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 151108
  • 1 43108
  • 1.3981 (rounded to 4 decimals)

Step by step solution

Add

108 + 427 = 302216

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

    Multiples of 8 are   8, 16, 24, 32, 40, 48, 56, 64, ..., 216 ....etc

    Multiples of 27 are   27, 54, 81, 108, 135, 162, ..., 216 ...etc

    The LCM of 8 and 27 is 216. So, the common denominator of 108 and 427 is 216. Now change the fractions into equivalent fractions with common denominator

    • 108 + 427
    • 10 * 278 * 27 + 4 * 827 * 8
    • 270216 + 32216
  2. Add

    • 270216 + 32216
    • 270 + 32216
    • 302216

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

Simplify

  • 302216
  • 151108
  • 1 43108
  1. Reduce fraction to its lowest terms

    • 302216
    • 302 ÷ 2216 ÷ 2
    • 151108

    The greatest common divisor of 302 and 216 is 2, the fraction 302216 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 151108 to mixed number

    • 151108
    • 1 43108

    151 divided by 108 is 1 with a remainder of 43