The common denominator of the two fractions will be 18.
Given to us
- \(\dfrac{1}{6}\)
- \(\dfrac{1}{9}\)
To find
The Common denominator of \(\dfrac{1}{6}\) and \(\dfrac{1}{9}\).
Solution
To find the common denominator between any two fractions we need to find the LCM of the two denominators.
2 | 6, 9
3 | 3, 9
3 | 1, 3
| 1, 1
therefore, the LCM of the two numbers will be \(2 \times 3\times3 =18\).
As we can see that the LCM of the two fractions is 18.
\(\dfrac{1}{6}+\dfrac{1}{9}\\\\=\dfrac{1\times 3}{6\times 3}+\dfrac{1\times 2}{9 \times 2}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}\)
Thus, the common denominator will be 18.
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