Add 12/27 and 30/32
12/27 + 30/32 is 199/144.
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,
12/27 = 12 × 32/27 × 32 = 384/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
30/32 = 30 × 27/32 × 27 = 810/864 - Add the two like fractions:
384/864 + 810/864 = 384 + 810/864 = 1194/864 - 1194/864 simplified gives 199/144
- So, 12/27 + 30/32 = 199/144
In mixed form: 155/144
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