Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{ 1 }{ 3 } + \frac{ 1 }{ 9 } + \frac{ 1 }{ 18 }$$

Answer

1/2

Solution


Find the Least Common Denominator (LCD) of \(\frac{1}{3},\frac{1}{9},\frac{1}{18}\). In other words, find the Least Common Multiple (LCM) of \(3,9,18\).
LCD = \(18\)
Make the denominators the same as the LCD.
\[\frac{1\times 6}{3\times 6}+\frac{1\times 2}{9\times 2}+\frac{1}{18}\]
Simplify. Denominators are now the same.
\[\frac{6}{18}+\frac{2}{18}+\frac{1}{18}\]
Join the denominators.
\[\frac{6+2+1}{18}\]
Simplify.
\[\frac{9}{18}\]
Simplify.
\[\frac{1}{2}\]

Decimal Form: 0.5

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