What is 22/21+4/15?

How much is 2221 plus 415. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 4635
  • 1 1135
  • 1.3143 (rounded to 4 decimals)

Step by step solution

Add

2221 + 415 = 138105

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

    Multiples of 21 are   21, 42, 63, 84, 105 ....etc

    Multiples of 15 are   15, 30, 45, 60, 75, 90, 105 ...etc

    The LCM of 21 and 15 is 105. So, the common denominator of 2221 and 415 is 105. Now change the fractions into equivalent fractions with common denominator

    • 2221 + 415
    • 22 * 521 * 5 + 4 * 715 * 7
    • 110105 + 28105
  2. Add

    • 110105 + 28105
    • 110 + 28105
    • 138105

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

Simplify

  • 138105
  • 4635
  • 1 1135
  1. Reduce fraction to its lowest terms

    • 138105
    • 138 ÷ 3105 ÷ 3
    • 4635

    The greatest common divisor of 138 and 105 is 3, the fraction 138105 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 4635 to mixed number

    • 4635
    • 1 1135

    46 divided by 35 is 1 with a remainder of 11