Best Answer

How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?

If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you are

adding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.

Q: How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

similarities and differences between ordinary fractions and rational expressions.

Dissimilar fractions have different denominators.

You multiply out brackets, remove common factors from fractions, combine like terms.

unlike fractions

Fractions are alike if they have the same denominators; otherwise they are different.

Related questions

You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.

It depends on the edition, but typically, it would include, working with expressions that include variables - for example, adding, subtracting, multiplying, and dividing such expressions; fractions (also with expressions); writing equations (based on word problems) and solving those equations; factoring polynomials; graphing; perhaps some basic trigonometry. - High school algebra is all about working with variables.

By eliminating the fractions

Assuming you want to get rid of the fractions, you can multiply both sides of the equations by the greatest common factor of the fractions. Then you can solve the equation normally.

You cannot solve fractions. There may be sums or products containing fractions or equations that can be solved. But fractions themselves cannot.

They are equivalent fractions.

Equations can be tricky, and solving two step equations is an important step beyond solving equations in one step. Solving two-step equations will help introduce students to solving equations in multiple steps, a skill necessary in Algebra I and II. To solve these types of equations, we use additive and multiplicative inverses to isolate and solve for the variable. Solving Two Step Equations Involving Fractions This video explains how to solve two step equations involving fractions.

similarities and differences between ordinary fractions and rational expressions.

Not necessarily, but often it is simpler to convert fractions into decimals to solve the equation.

Exponential, trigonometric, algebraic fractions, inverse etc are all examples.

Add, subtranct, multiply, divide, do whatever the expression calls for.

It depends on the context. You can simplify expressions, fractions, surds and so on. The methods for each is different so it is necessary to know a bit more before the question can be answered.