Add 35/18 and 35/21
1st number: 1 17/18, 2nd number: 1 14/21
35/18 + 35/21 is 65/18.
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,
35/21 = 35 × 6/21 × 6 = 210/126 - Add the two like fractions:
245/126 + 210/126 = 245 + 210/126 = 455/126 - 455/126 simplified gives 65/18
- So, 35/18 + 35/21 = 65/18
In mixed form: 311/18
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