Add 49/72 and 14/16
49/72 + 14/16 is 14/9.
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,
14/16 = 14 × 9/16 × 9 = 126/144 - Add the two like fractions:
98/144 + 126/144 = 98 + 126/144 = 224/144 - 224/144 simplified gives 14/9
- So, 49/72 + 14/16 = 14/9
In mixed form: 15/9
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