What is 9/12+16/22?

How much is 912 plus 1622. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 6544
  • 1 2144
  • 1.4773 (rounded to 4 decimals)

Step by step solution

Add

912 + 1622 = 195132

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

    Multiples of 12 are   12, 24, 36, 48, 60, 72, 84, ..., 132 ....etc

    Multiples of 22 are   22, 44, 66, 88, 110, 132 ...etc

    The LCM of 12 and 22 is 132. So, the common denominator of 912 and 1622 is 132. Now change the fractions into equivalent fractions with common denominator

    • 912 + 1622
    • 9 * 1112 * 11 + 16 * 622 * 6
    • 99132 + 96132
  2. Add

    • 99132 + 96132
    • 99 + 96132
    • 195132

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

Simplify

  • 195132
  • 6544
  • 1 2144
  1. Reduce fraction to its lowest terms

    • 195132
    • 195 ÷ 3132 ÷ 3
    • 6544

    The greatest common divisor of 195 and 132 is 3, the fraction 195132 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 6544 to mixed number

    • 6544
    • 1 2144

    65 divided by 44 is 1 with a remainder of 21