Mathematics: Simplify the complex fraction.

Simplify the complex fraction. - id5256135, kdog1738

Ответ:

lefthandeddolan

19.01.2022

Mathematics

The simplified fraction is ${\frac{4x}{(x+3)(1+3x)}$ .

Solution:

Given expression is

$$\frac{\frac{4}{x+3}}{\frac{1}{x}+3}$

Let us first simplify the fraction in denominator.

$$\frac{1}{x}+3 =\frac{1}{x} +\frac{3}{1}$

To make the denominator same multiply and divide the 2nd term by x.

$$ =\frac{1}{x} +\frac{3x}{x}$

$$ \frac{1}{x}+3 =\frac{1+3x}{x}$

Substitute this in the given fraction.

$$\frac{\frac{4}{x+3}}{\frac{1}{x}+3}=\frac{\frac{4}{x+3}}{\frac{1+3x}{x}}$

$$={\frac{4}{x+3}\times \frac{x}{1+3x}$

$$={\frac{4x}{(x+3)(1+3x)}$

Hence the simplified fraction is ${\frac{4x}{(x+3)(1+3x)}$ .

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Ответ:

darkmatter1210

25.06.2020

Mathematics

Step-by-step explanation:

If you draw a line through each dots, one being from (2,3) to (8,15) and the other being (2,2) to (9,9). And, then if you draw one that is roughly halfway between the two of the first starting points with a slope of 1.5(which is the other 2 lines slopes combined and divided by two to find an average), and then draw out that line to x=9, you will see that it intersects with 13, which is 1 away from 12. Making it the one closest to the line of best fit

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Simplify the complex fraction.

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