Add 8/12 and 12/35
8/12 + 12/35 is 106/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
8/12 = 8 × 35/12 × 35 = 280/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
12/35 = 12 × 12/35 × 12 = 144/420 - Add the two like fractions:
280/420 + 144/420 = 280 + 144/420 = 424/420 - 424/420 simplified gives 106/105
- So, 8/12 + 12/35 = 106/105
In mixed form: 11/105
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