What is 10/6+4/14?

How much is 106 plus 414. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4121
  • 1 2021
  • 1.9524 (rounded to 4 decimals)

Step by step solution

Add

106 + 414 = 8242

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

    Multiples of 6 are   6, 12, 18, 24, 30, 36, 42 ....etc

    Multiples of 14 are   14, 28, 42 ...etc

    The LCM of 6 and 14 is 42. So, the common denominator of 106 and 414 is 42. Now change the fractions into equivalent fractions with common denominator

    • 106 + 414
    • 10 * 76 * 7 + 4 * 314 * 3
    • 7042 + 1242
  2. Add

    • 7042 + 1242
    • 70 + 1242
    • 8242

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

Simplify

  • 8242
  • 4121
  • 1 2021
  1. Reduce fraction to its lowest terms

    • 8242
    • 82 ÷ 242 ÷ 2
    • 4121

    The greatest common divisor of 82 and 42 is 2, the fraction 8242 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 2.

  2. Convert improper fraction 4121 to mixed number

    • 4121
    • 1 2021

    41 divided by 21 is 1 with a remainder of 20