Add 35/12 and 75/9
1st number: 2 11/12, 2nd number: 8 3/9
35/12 + 75/9 is 45/4.
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,
75/9 = 75 × 4/9 × 4 = 300/36 - Add the two like fractions:
105/36 + 300/36 = 105 + 300/36 = 405/36 - 405/36 simplified gives 45/4
- So, 35/12 + 75/9 = 45/4
In mixed form: 111/4
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