Add 12/9 and 42/35
1st number: 1 3/9, 2nd number: 1 7/35
12/9 + 42/35 is 38/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
12/9 = 12 × 35/9 × 35 = 420/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
42/35 = 42 × 9/35 × 9 = 378/315 - Add the two like fractions:
420/315 + 378/315 = 420 + 378/315 = 798/315 - 798/315 simplified gives 38/15
- So, 12/9 + 42/35 = 38/15
In mixed form: 28/15
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