What is 21/14+25/26?

How much is 2114 plus 2526. 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

2114 + 2526 = 448182

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

    Multiples of 14 are   14, 28, 42, 56, 70, 84, 98, ..., 182 ....etc

    Multiples of 26 are   26, 52, 78, 104, 130, 156, 182 ...etc

    The LCM of 14 and 26 is 182. So, the common denominator of 2114 and 2526 is 182. Now change the fractions into equivalent fractions with common denominator

    • 2114 + 2526
    • 21 * 1314 * 13 + 25 * 726 * 7
    • 273182 + 175182
  2. Add

    • 273182 + 175182
    • 273 + 175182
    • 448182

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

Simplify

  • 448182
  • 3213
  • 2 613
  1. Reduce fraction to its lowest terms

    • 448182
    • 448 ÷ 14182 ÷ 14
    • 3213

    The greatest common divisor of 448 and 182 is 14, the fraction 448182 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 14.

  2. Convert improper fraction 3213 to mixed number

    • 3213
    • 2 613

    32 divided by 13 is 2 with a remainder of 6