Mathematics, 05.05.2020 20:32 bryannnnv

Which of the following statements is NOT true regarding simplifying rational
expressions?
When dividing one rational expression by another rational expression, you can rewrite your
expression as a multiplication problem.
When multiplying two rational expressions together, you must first have a common denominator.
When adding two rational expressions together, you must first have a common denominator.
When multiplying two rational expressions together, the numerators get multiplied together
while the denominators get multiplied together,

Answers: 3

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Answers

The statement which is not true regarding simplifying the rational expression is When multiplying two rational expressions together, you must first have a common denominator.

We have to determine, which of the following statements is NOT true regarding simplifying rational expressions?

According to the question,

Let, the first rational number be x,

and another rational number be y,

The statement which is not true regarding simplifying the rational expression is given in the steps given below to follow all the steps given below.

1. When dividing one rational expression by another rational expression, you can rewrite your expression as a multiplication problem is,

$= \dfrac{\dfrac{x}{y} }{\dfrac{a}{b}}\\\\\\$

2. When multiplying two rational expressions together, you must first have a common denominator.

$=\dfrac{x}{y} \times \dfrac{a}{b}\\\\= \dfrac{ax}{by}$

3. When adding two rational expressions together, you must first have a common denominator.

$= \dfrac{x}{y} + \dfrac{a}{b}\\\\= \dfrac{xb + ya}{yb}$

4. When multiplying two rational expressions together, the numerators get multiplied together while the denominators get multiplied together,

$= \dfrac{\dfrac{x}{y} }{\dfrac{a}{b}}\\\\\\ = \dfrac{x}{y} \times \dfrac{a}{b}\\\\$

Hence, The statement which is not true regarding simplifying the rational expression is When multiplying two rational expressions together, you must first have a common denominator.

For more details refer to the link given below.

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Answer from: mmoniquee

B. When multiplying two rational expressions together, you must first have a common denominator.

Step-by-step explanation:

Option A

When dividing one rational expression by another rational expression, you can rewrite your expression as a multiplication problem.

$\dfrac{x}{y} \div \dfrac{a}{b}=\dfrac{x}{y} X \dfrac{b}{a}$

Option B

When multiplying two rational expressions together, you must first have a common denominator.

This is not necessary, as according to Option D, the numerators get multiplied together while the denominators get multiplied together.

$\dfrac{x}{y} X \dfrac{b}{a}=\dfrac{xb}{ya}$

Therefore Option B is NOT TRUE.

Option C

When adding two rational expressions together, you must first have a common denominator.

This common denominator is the Lowest Common Multiple of the two denominators. Take for an example:

$\dfrac{x}{y} + \dfrac{b}{a}\\$The LCM of the denominators (y and a is ya), therefore:\\\dfrac{x}{y} + \dfrac{b}{a}=\dfrac{xa+by}{ya}$

Answer from: Quest

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall is needed to match the record of 40 inches is given by

$40-37.6\\\\=2.4\ inches$

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

Answer from: Quest

the photograph is photographer and- in the process- ourselves.

step-by-step explanation:

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Which of the following statements is NOT true regarding simplifying rational
expressions?

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