What is 12/21+24/22?

How much is 1221 plus 2422. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 12877
  • 1 5177
  • 1.6623 (rounded to 4 decimals)

Step by step solution

Add

1221 + 2422 = 768462

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

    Multiples of 21 are   21, 42, 63, 84, 105, 126, 147, ..., 462 ....etc

    Multiples of 22 are   22, 44, 66, 88, 110, 132, 154, ..., 462 ...etc

    The LCM of 21 and 22 is 462. So, the common denominator of 1221 and 2422 is 462. Now change the fractions into equivalent fractions with common denominator

    • 1221 + 2422
    • 12 * 2221 * 22 + 24 * 2122 * 21
    • 264462 + 504462
  2. Add

    • 264462 + 504462
    • 264 + 504462
    • 768462

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

Simplify

  • 768462
  • 12877
  • 1 5177
  1. Reduce fraction to its lowest terms

    • 768462
    • 768 ÷ 6462 ÷ 6
    • 12877

    The greatest common divisor of 768 and 462 is 6, the fraction 768462 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 6.

  2. Convert improper fraction 12877 to mixed number

    • 12877
    • 1 5177

    128 divided by 77 is 1 with a remainder of 51