Add 49/54 and 28/40
49/54 + 28/40 is 217/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
49/54 = 49 × 20/54 × 20 = 980/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
28/40 = 28 × 27/40 × 27 = 756/1080 - Add the two like fractions:
980/1080 + 756/1080 = 980 + 756/1080 = 1736/1080 - 1736/1080 simplified gives 217/135
- So, 49/54 + 28/40 = 217/135
In mixed form: 182/135
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