Add 35/9 and 42/12
1st number: 3 8/9, 2nd number: 3 6/12
35/9 + 42/12 is 133/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 12 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
35/9 = 35 × 4/9 × 4 = 140/36 - Likewise, for the 2nd fraction, since 12 × 3 = 36,
42/12 = 42 × 3/12 × 3 = 126/36 - Add the two like fractions:
140/36 + 126/36 = 140 + 126/36 = 266/36 - 266/36 simplified gives 133/18
- So, 35/9 + 42/12 = 133/18
In mixed form: 77/18
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