Add 21/14 and 14/9
1st number: 1 7/14, 2nd number: 1 5/9
21/14 + 14/9 is 55/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
14/9 = 14 × 14/9 × 14 = 196/126 - Add the two like fractions:
189/126 + 196/126 = 189 + 196/126 = 385/126 - 385/126 simplified gives 55/18
- So, 21/14 + 14/9 = 55/18
In mixed form: 31/18
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