What is 14/21+11/11?

How much is 1421 plus 1111. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 53
  • 1 23
  • 1.6667 (rounded to 4 decimals)

Step by step solution

Add

1421 + 1111 = 385231

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

    Multiples of 21 are   21, 42, 63, 84, 105, 126, 147, ..., 231 ....etc

    Multiples of 11 are   11, 22, 33, 44, 55, 66, 77, ..., 231 ...etc

    The LCM of 21 and 11 is 231. So, the common denominator of 1421 and 1111 is 231. Now change the fractions into equivalent fractions with common denominator

    • 1421 + 1111
    • 14 * 1121 * 11 + 11 * 2111 * 21
    • 154231 + 231231
  2. Add

    • 154231 + 231231
    • 154 + 231231
    • 385231

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

Simplify

  • 385231
  • 53
  • 1 23
  1. Reduce fraction to its lowest terms

    • 385231
    • 385 ÷ 77231 ÷ 77
    • 53

    The greatest common divisor of 385 and 231 is 77, the fraction 385231 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 77.

  2. Convert improper fraction 53 to mixed number

    • 53
    • 1 23

    5 divided by 3 is 1 with a remainder of 2