Add 12/35 and 42/63
12/35 + 42/63 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
12/35 = 12 × 9/35 × 9 = 108/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
42/63 = 42 × 5/63 × 5 = 210/315 - Add the two like fractions:
108/315 + 210/315 = 108 + 210/315 = 318/315 - 318/315 simplified gives 106/105
- So, 12/35 + 42/63 = 106/105
In mixed form: 11/105
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