Add 12/15 and 32/35
12/15 + 32/35 is 12/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 15 × 7 = 105,
12/15 = 12 × 7/15 × 7 = 84/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
32/35 = 32 × 3/35 × 3 = 96/105 - Add the two like fractions:
84/105 + 96/105 = 84 + 96/105 = 180/105 - 180/105 simplified gives 12/7
- So, 12/15 + 32/35 = 12/7
In mixed form: 15/7
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