Add 35/18 and 14/21
1st number: 1 17/18, 2nd number: 14/21
35/18 + 14/21 is 47/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
14/21 = 14 × 6/21 × 6 = 84/126 - Add the two like fractions:
245/126 + 84/126 = 245 + 84/126 = 329/126 - 329/126 simplified gives 47/18
- So, 35/18 + 14/21 = 47/18
In mixed form: 211/18
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