Add 35/12 and 30/21
1st number: 2 11/12, 2nd number: 1 9/21
35/12 + 30/21 is 365/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
35/12 = 35 × 7/12 × 7 = 245/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
30/21 = 30 × 4/21 × 4 = 120/84 - Add the two like fractions:
245/84 + 120/84 = 245 + 120/84 = 365/84 - So, 35/12 + 30/21 = 365/84
In mixed form: 429/84
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