Add 42/30 and 8/27
1st number: 1 12/30, 2nd number: 8/27
42/30 + 8/27 is 229/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
42/30 = 42 × 9/30 × 9 = 378/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
8/27 = 8 × 10/27 × 10 = 80/270 - Add the two like fractions:
378/270 + 80/270 = 378 + 80/270 = 458/270 - 458/270 simplified gives 229/135
- So, 42/30 + 8/27 = 229/135
In mixed form: 194/135
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