Add 7/28 and 42/49
7/28 + 42/49 is 31/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 28 × 7 = 196,
7/28 = 7 × 7/28 × 7 = 49/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
49/196 + 168/196 = 49 + 168/196 = 217/196 - 217/196 simplified gives 31/28
- So, 7/28 + 42/49 = 31/28
In mixed form: 13/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/28+42/49 7/28+84/49 7/56+42/49 7/28+42/98 21/28+42/49 7/84+42/49 35/28+42/49 49/28+42/49