Add 10/35 and 35/12
1st number: 10/35, 2nd number: 2 11/12
10/35 + 35/12 is 269/84.
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,
10/35 = 10 × 12/35 × 12 = 120/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
35/12 = 35 × 35/12 × 35 = 1225/420 - Add the two like fractions:
120/420 + 1225/420 = 120 + 1225/420 = 1345/420 - 1345/420 simplified gives 269/84
- So, 10/35 + 35/12 = 269/84
In mixed form: 317/84
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