Add 35/9 and 14/42
1st number: 3 8/9, 2nd number: 14/42
35/9 + 14/42 is 38/9.
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,
35/9 = 35 × 14/9 × 14 = 490/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
14/42 = 14 × 3/42 × 3 = 42/126 - Add the two like fractions:
490/126 + 42/126 = 490 + 42/126 = 532/126 - 532/126 simplified gives 38/9
- So, 35/9 + 14/42 = 38/9
In mixed form: 42/9
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