Add 35/42 and 10/9
1st number: 35/42, 2nd number: 1 1/9
35/42 + 10/9 is 35/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
10/9 = 10 × 14/9 × 14 = 140/126 - Add the two like fractions:
105/126 + 140/126 = 105 + 140/126 = 245/126 - 245/126 simplified gives 35/18
- So, 35/42 + 10/9 = 35/18
In mixed form: 117/18
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