Add 42/30 and 40/27
1st number: 1 12/30, 2nd number: 1 13/27
42/30 + 40/27 is 389/135.
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,
40/27 = 40 × 10/27 × 10 = 400/270 - Add the two like fractions:
378/270 + 400/270 = 378 + 400/270 = 778/270 - 778/270 simplified gives 389/135
- So, 42/30 + 40/27 = 389/135
In mixed form: 2119/135
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