Add 45/32 and 49/27
1st number: 1 13/32, 2nd number: 1 22/27
45/32 + 49/27 is 2783/864.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
45/32 = 45 × 27/32 × 27 = 1215/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
49/27 = 49 × 32/27 × 32 = 1568/864 - Add the two like fractions:
1215/864 + 1568/864 = 1215 + 1568/864 = 2783/864 - So, 45/32 + 49/27 = 2783/864
In mixed form: 3191/864
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