Add 42/72 and 14/27
42/72 + 14/27 is 119/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 72 × 3 = 216,
42/72 = 42 × 3/72 × 3 = 126/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
14/27 = 14 × 8/27 × 8 = 112/216 - Add the two like fractions:
126/216 + 112/216 = 126 + 112/216 = 238/216 - 238/216 simplified gives 119/108
- So, 42/72 + 14/27 = 119/108
In mixed form: 111/108
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