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

Douglas Kraatz 2021-11-22 Answered
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.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

George Spencer
Answered 2021-11-23 Author has 1656 answers
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
\(\displaystyle\Rightarrow{L}={\frac{{{49}}}{{{4}}}}\)
\(\displaystyle\Rightarrow{L}={12.25}\)
Have a similar question?
Ask An Expert
0
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-11-15
If an equation has several fractions, how does multiplying both sides by the LCD make it easier to solve?
asked 2021-09-30
To clear the following equation of fractions, by what should both sides be multiplied?
\(\displaystyle{\frac{{{7}}}{{{10}}}}+{y}={\frac{{{2}{y}-{38}}}{{{5}{y}-{25}}}}\)
asked 2021-05-14
A mathematics class has studied linear equations, their graphs, and the results of multiplying both sides of an equation by a constant, or adding or subtracting two equations. Some properties of linear equations given by some of the students are stated. In each exercise justify that the statement is valid or in error. Brittany said that if two linear equations are added or subtracted and the result is of the form 0=a constant, then the lines are parallel.
asked 2021-11-15
Rewrite the equation below so that it does not have fractions.
\(\displaystyle{5}-{\frac{{{2}}}{{{3}}}}{x}={\frac{{{3}}}{{{4}}}}\)
Do not use decimals in your answer.
\(\displaystyle?-?{x}=?\)
asked 2021-11-16
Rewrite the equation below so that it does not have fractions \(\displaystyle{5}-{\frac{{{3}}}{{{4}}}}{x}={\frac{{{7}}}{{{12}}}}\) do not use decimals in your answer
asked 2021-11-16
Rewrite the equation below so that it does not have fractions
\(\displaystyle{3}-{\frac{{{3}}}{{{4}}}}{x}+{\frac{{{2}}}{{{5}}}}\)
Do not use decimals in your answer
asked 2021-09-23
Rewrite the equation below so that is does not have fractions \(\displaystyle{\frac{{{2}}}{{{3}}}}{x}+{3}={\frac{{{2}}}{{{7}}}}\) do not use decimals in your answer
...