What is 21/28+10/12?

How much is 2128 plus 1012. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 1912
  • 1 712
  • 1.5833 (rounded to 4 decimals)

Step by step solution

Add

2128 + 1012 = 13384

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

    Multiples of 28 are   28, 56, 84 ....etc

    Multiples of 12 are   12, 24, 36, 48, 60, 72, 84 ...etc

    The LCM of 28 and 12 is 84. So, the common denominator of 2128 and 1012 is 84. Now change the fractions into equivalent fractions with common denominator

    • 2128 + 1012
    • 21 * 328 * 3 + 10 * 712 * 7
    • 6384 + 7084
  2. Add

    • 6384 + 7084
    • 63 + 7084
    • 13384

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

Simplify

  • 13384
  • 1912
  • 1 712
  1. Reduce fraction to its lowest terms

    • 13384
    • 133 ÷ 784 ÷ 7
    • 1912

    The greatest common divisor of 133 and 84 is 7, the fraction 13384 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 7.

  2. Convert improper fraction 1912 to mixed number

    • 1912
    • 1 712

    19 divided by 12 is 1 with a remainder of 7