Add 49/72 and 7/16
49/72 + 7/16 is 161/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 72 × 2 = 144,
49/72 = 49 × 2/72 × 2 = 98/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
7/16 = 7 × 9/16 × 9 = 63/144 - Add the two like fractions:
98/144 + 63/144 = 98 + 63/144 = 161/144 - So, 49/72 + 7/16 = 161/144
In mixed form: 117/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/72+7/16 49/72+14/16 49/72+7/32 49/72+21/16 49/72+7/48 49/72+35/16 49/72+7/80 49/72+49/16