Add 30/35 and 35/12
1st number: 30/35, 2nd number: 2 11/12
30/35 + 35/12 is 317/84.
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,
30/35 = 30 × 12/35 × 12 = 360/420 - Likewise, for the 2nd fraction, since 12 × 35 = 420,
35/12 = 35 × 35/12 × 35 = 1225/420 - Add the two like fractions:
360/420 + 1225/420 = 360 + 1225/420 = 1585/420 - 1585/420 simplified gives 317/84
- So, 30/35 + 35/12 = 317/84
In mixed form: 365/84
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