How To Solve Algebra Problems With Fractions

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Then, we need to solve the equation(s) to find the solution(s) to the word problems.

Translating words to equations How to recognize some common types of algebra word problems and how to solve them step by step: Age Problems usually compare the ages of people.

Average Problems involve the computations for arithmetic mean or weighted average of different quantities.

Another common type of average problems is the average speed computation.

This include geometry word problems Involving Perimeters, Involving Areas and Involving Angles Integer Problems involve numerical representations of word problems.

The integer word problems may Involve 2 Unknowns or may Involve More Than 2 Unknowns Interest Problems involve calculations of simple interest.

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This method worked fine, but many students don’t feel very confident when they see all those fractions.

So we are going to show an alternate method to solve equations with fractions. We will apply the Multiplication Property of Equality and multiply both sides of an equation by the least common denominator of $$\begin \frac x \frac &= \frac \ \frac (\textcolor) \frac &\stackrel \frac \ - \frac \frac &\stackrel \frac \ - \frac \frac &\stackrel \frac \ \frac &\stackrel \frac \ \frac &= \frac\; \checkmark \end$$ Notice in Example 8.37 that once we cleared the equation of fractions, the equation was like those we solved earlier in this chapter.


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