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Q: Why would you want to factor each expression before multiplying or dividing 2 rational expressions?

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After multiplying or dividing two rational expressions it is sometimes possible to simplify the resulting expression.

Simplify, possibly!

To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.

It is the same as dividing by the original expression.

Dividing by a non-zero rational number is the same as multiplying by its reciprocal.

Details about multiplying and dividing rational number involves modeling multiplying fractions by dividing squares to equal segments and then overlap the squares.

another rational expression.

did you get this off of big ideas learning

multiplying rational expressions means multiplying two alg. rxpressions that look like fractions, Just like normal, multiply numerators and multiply denominators then reduce. Division, just like regular fractions means to invert the divisor and the multiply (as above)

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.

Dividing by a rational number (other than zero) is simply multiplication by its reciprocal.

The coefficients in a rational expression would be rational numbers.

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