What is 15/22+16/21?

How much is 1522 plus 1621. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 667462
  • 1 205462
  • 1.4437 (rounded to 4 decimals)

Step by step solution

Add

1522 + 1621 = 667462

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

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

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

    The LCM of 22 and 21 is 462. So, the common denominator of 1522 and 1621 is 462. Now change the fractions into equivalent fractions with common denominator

    • 1522 + 1621
    • 15 * 2122 * 21 + 16 * 2221 * 22
    • 315462 + 352462
  2. Add

    • 315462 + 352462
    • 315 + 352462
    • 667462

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

Simplify

  • 667462
  • 1 205462
  1. Reduce fraction to its lowest terms

    The greatest common divisor of 667 and 462 is 1, the fraction 667462 cannot be further simplified or reduced to lowest terms

  2. Convert improper fraction 667462 to mixed number

    • 667462
    • 1 205462

    667 divided by 462 is 1 with a remainder of 205