Add 14/27 and 30/32
14/27 + 30/32 is 629/432.
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,
14/27 = 14 × 32/27 × 32 = 448/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
30/32 = 30 × 27/32 × 27 = 810/864 - Add the two like fractions:
448/864 + 810/864 = 448 + 810/864 = 1258/864 - 1258/864 simplified gives 629/432
- So, 14/27 + 30/32 = 629/432
In mixed form: 1197/432
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