Add 35/12 and 21/9
1st number: 2 11/12, 2nd number: 2 3/9
35/12 + 21/9 is 21/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
35/12 = 35 × 3/12 × 3 = 105/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
21/9 = 21 × 4/9 × 4 = 84/36 - Add the two like fractions:
105/36 + 84/36 = 105 + 84/36 = 189/36 - 189/36 simplified gives 21/4
- So, 35/12 + 21/9 = 21/4
In mixed form: 51/4
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