What is 19/13+21/21?

How much is 1913 plus 2121. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 3213
  • 2 613
  • 2.4615 (rounded to 4 decimals)

Step by step solution

Add

1913 + 2121 = 672273

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

    Multiples of 13 are   13, 26, 39, 52, 65, 78, 91, ..., 273 ....etc

    Multiples of 21 are   21, 42, 63, 84, 105, 126, 147, ..., 273 ...etc

    The LCM of 13 and 21 is 273. So, the common denominator of 1913 and 2121 is 273. Now change the fractions into equivalent fractions with common denominator

    • 1913 + 2121
    • 19 * 2113 * 21 + 21 * 1321 * 13
    • 399273 + 273273
  2. Add

    • 399273 + 273273
    • 399 + 273273
    • 672273

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

Simplify

  • 672273
  • 3213
  • 2 613
  1. Reduce fraction to its lowest terms

    • 672273
    • 672 ÷ 21273 ÷ 21
    • 3213

    The greatest common divisor of 672 and 273 is 21, the fraction 672273 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 21.

  2. Convert improper fraction 3213 to mixed number

    • 3213
    • 2 613

    32 divided by 13 is 2 with a remainder of 6