Add 42/45 and 12/35
42/45 + 12/35 is 134/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
42/45 = 42 × 7/45 × 7 = 294/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
12/35 = 12 × 9/35 × 9 = 108/315 - Add the two like fractions:
294/315 + 108/315 = 294 + 108/315 = 402/315 - 402/315 simplified gives 134/105
- So, 42/45 + 12/35 = 134/105
In mixed form: 129/105
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