Add 9/35 and 32/12
1st number: 9/35, 2nd number: 2 8/12
9/35 + 32/12 is 307/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 12 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
9/35 = 9 × 12/35 × 12 = 108/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
32/12 = 32 × 35/12 × 35 = 1120/420 - Add the two like fractions:
108/420 + 1120/420 = 108 + 1120/420 = 1228/420 - 1228/420 simplified gives 307/105
- So, 9/35 + 32/12 = 307/105
In mixed form: 297/105
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