Question

Which expression is equivalent to StartFraction 3 x Over x + 1 EndFractiondivided by x + 1? StartFraction 3 x Over x + 1 EndFraction times StartFraction 1 Over x + 1 EndFraction StartFraction 3 x Over x + 1 EndFraction divided by StartFraction 1 Over x + 1 EndFraction StartFraction x + 1 Over 1 EndFraction divided by StartFraction 3 x Over x + 1 EndFraction StartFraction x + 1 Over 3 x EndFraction times StartFraction x + 1 Over 1 EndFraction

Answer 1

Answer:

The expression equivalent to $\frac{3x}{x+1}$  ÷  $x+1$ is  $\frac{3x}{x+1}$  ×  $\frac{1}{x+1}$ ⇒ 1st answer

Step-by-step explanation:

To divide two fraction we reciprocal the fraction after the division sign and change the division sign to multiplication sign

Ex : $\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a}{b}$ × $\frac{d}{c}$

∵ The expression is  $\frac{3x}{x+1}$  ÷  $x+1$

- Take the term after the division sign and reciprocal it

- Assume that the denominator of x + 1 is 1, then the numerator

   of the reciprocal is 1 and the denominator is x + 1

∴ The reciprocal of $x+1$ is $\frac{1}{x+1}$

- Change the division sign (÷) to multiplication sign (×)

∴ $\frac{3x}{x+1}$  ÷  $x+1$ =  $\frac{3x}{x+1}$  ×  $\frac{1}{x+1}$

The expression equivalent to $\frac{3x}{x+1}$  ÷  $x+1$ is  $\frac{3x}{x+1}$  ×  $\frac{1}{x+1}$

Answer 2

Answer:

A

Step-by-step explanation: