Add 12/35 and 32/42
12/35 + 32/42 is 116/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
12/35 = 12 × 6/35 × 6 = 72/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
32/42 = 32 × 5/42 × 5 = 160/210 - Add the two like fractions:
72/210 + 160/210 = 72 + 160/210 = 232/210 - 232/210 simplified gives 116/105
- So, 12/35 + 32/42 = 116/105
In mixed form: 111/105
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