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When multiplying two rational expressions, simply multiply their numerators together, and their denominators together:
(a / b) * (c / d) = (a * c) / (b * d)
Dividing one fraction by another is the same as multiplying the first fraction by the reciprocal of the second one:
(a / b) / (c / d)
= (a / b) * (d / c)
= (a * d) / (b * c)
This is often referred to as cross multiplication.
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When you multiply or divide two rational expressions the result may not always be in form?
reduced
When you multiply or divide two rational expressions keep in mind that you may be able to the result?
simplify
How is doing operations with rational expressions similar or different from doing equations with fractions and how can they be used in real life?
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 areadding 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.
If the equation of a function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
Dividing rational numbers?
In order to divide rational numbers we need to do the following steps: Replace the division symbol by multiplication symbol. The divisor will be it's reciprocal. Multiply the statement. Here you get your answer.
