Add 14/28 and 7/49
14/28 + 7/49 is 9/14.
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,
14/28 = 14 × 7/28 × 7 = 98/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
7/49 = 7 × 4/49 × 4 = 28/196 - Add the two like fractions:
98/196 + 28/196 = 98 + 28/196 = 126/196 - 126/196 simplified gives 9/14
- So, 14/28 + 7/49 = 9/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/28+14/49 14/56+7/49 14/28+7/98 42/28+7/49 14/28+21/49 14/84+7/49 70/28+7/49 14/28+35/49 98/28+7/49