# If an equation has several fractions, how does multiplying both sides

If an equation has several fractions, how does multiplying both sides by the LCD make it easier to solve?
Given: The given equation is $$\displaystyle{2}{L}+{2}{\left({L}-{2.5}\right)}={44}$$, also the length of the fence is 2.5 feet more than the width.

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George Spencer
Calculation:
The given equation is $$\displaystyle{2}{L}+{2}{\left({L}-{2.5}\right)}={44}$$
Distributive the number inside the paranthesis and then remove the parenthesis, we get
$$\displaystyle\Rightarrow{2}{L}+{2}{L}-{2}\times{2.5}={44}$$
$$\displaystyle\Rightarrow{4}{L}-{5}={44}$$
Add 5 on both the sides, we get
$$\displaystyle\Rightarrow{4}{L}-{5}+{5}={44}+{5}$$
$$\displaystyle\Rightarrow{4}{L}={49}$$
Divide both the sides by four, we get
$$\displaystyle\Rightarrow{L}={\frac{{{49}}}{{{4}}}}$$
$$\displaystyle\Rightarrow{L}={12.25}$$