Add 8/15 and 42/54
8/15 + 42/54 is 59/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 15 × 18 = 270,
8/15 = 8 × 18/15 × 18 = 144/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
42/54 = 42 × 5/54 × 5 = 210/270 - Add the two like fractions:
144/270 + 210/270 = 144 + 210/270 = 354/270 - 354/270 simplified gives 59/45
- So, 8/15 + 42/54 = 59/45
In mixed form: 114/45
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