Add 49/27 and 28/32
1st number: 1 22/27, 2nd number: 28/32
49/27 + 28/32 is 581/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
49/27 = 49 × 32/27 × 32 = 1568/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
28/32 = 28 × 27/32 × 27 = 756/864 - Add the two like fractions:
1568/864 + 756/864 = 1568 + 756/864 = 2324/864 - 2324/864 simplified gives 581/216
- So, 49/27 + 28/32 = 581/216
In mixed form: 2149/216
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