Example

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

Question

$$\frac{ 11 }{ 18 } + \frac{ 11 }{ 27 } + \frac{ 11 }{ 54 }$$

Answer

mixed(1,2/9)

Solution


Find the Least Common Denominator (LCD) of \(\frac{11}{18},\frac{11}{27},\frac{11}{54}\). In other words, find the Least Common Multiple (LCM) of \(18,27,54\).
LCD = \(54\)
Make the denominators the same as the LCD.
\[\frac{11\times 3}{18\times 3}+\frac{11\times 2}{27\times 2}+\frac{11}{54}\]
Simplify. Denominators are now the same.
\[\frac{33}{54}+\frac{22}{54}+\frac{11}{54}\]
Join the denominators.
\[\frac{33+22+11}{54}\]
Simplify.
\[\frac{66}{54}\]
Simplify.
\[\frac{11}{9}\]
Convert to mixed fraction.
\[1\frac{2}{9}\]

Decimal Form: 1.222222

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