Add 35/9 and 42/27
1st number: 3 8/9, 2nd number: 1 15/27
35/9 + 42/27 is 49/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 9 × 3 = 27,
35/9 = 35 × 3/9 × 3 = 105/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
42/27 = 42 × 1/27 × 1 = 42/27 - Add the two like fractions:
105/27 + 42/27 = 105 + 42/27 = 147/27 - 147/27 simplified gives 49/9
- So, 35/9 + 42/27 = 49/9
In mixed form: 54/9
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