Add 2/9 and 35/42
2/9 + 35/42 is 19/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
2/9 = 2 × 14/9 × 14 = 28/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
28/126 + 105/126 = 28 + 105/126 = 133/126 - 133/126 simplified gives 19/18
- So, 2/9 + 35/42 = 19/18
In mixed form: 11/18
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