Add 18/9 and 21/14
1st number: 2 0/9, 2nd number: 1 7/14
18/9 + 21/14 is 7/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
18/9 = 18 × 14/9 × 14 = 252/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Add the two like fractions:
252/126 + 189/126 = 252 + 189/126 = 441/126 - 441/126 simplified gives 7/2
- So, 18/9 + 21/14 = 7/2
In mixed form: 31/2
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