What is 7/14+12/21?

How much is 714 plus 1221. Step by step solution expressed as a proper or improper fraction, mixed number and decimal form.

  • 1514
  • 1 114
  • 1.0714 (rounded to 4 decimals)

Step by step solution

Add

714 + 1221 = 4542

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

    Multiples of 14 are   14, 28, 42 ....etc

    Multiples of 21 are   21, 42 ...etc

    The LCM of 14 and 21 is 42. So, the common denominator of 714 and 1221 is 42. Now change the fractions into equivalent fractions with common denominator

    • 714 + 1221
    • 7 * 314 * 3 + 12 * 221 * 2
    • 2142 + 2442
  2. Add

    • 2142 + 2442
    • 21 + 2442
    • 4542

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

Simplify

  • 4542
  • 1514
  • 1 114
  1. Reduce fraction to its lowest terms

    • 4542
    • 45 ÷ 342 ÷ 3
    • 1514

    The greatest common divisor of 45 and 42 is 3, the fraction 4542 can be simplified or reduced to lowest terms by dividing the numerator and denominator by 3.

  2. Convert improper fraction 1514 to mixed number

    • 1514
    • 1 114

    15 divided by 14 is 1 with a remainder of 1