Add 7/12 and 27/35
7/12 + 27/35 is 569/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
7/12 = 7 × 35/12 × 35 = 245/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
27/35 = 27 × 12/35 × 12 = 324/420 - Add the two like fractions:
245/420 + 324/420 = 245 + 324/420 = 569/420 - So, 7/12 + 27/35 = 569/420
In mixed form: 1149/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/12+27/35 7/12+54/35 7/24+27/35 7/12+27/70 21/12+27/35 7/12+81/35 7/36+27/35 35/12+27/35 7/60+27/35 49/12+27/35 7/84+27/35