5/6-2/5 in simplest form

Mathematics

1 answer:

DiKsa [7]4 years ago

7 0

Answer:

13/30

Step-by-step:

First, you find the common denominator, which is 30. For the first fraction, multiply the bottom by five. Since you do that, you have to multiple the top by 5 as well, giving you 25/30. For the second problem, you multiple the top and bottom by six giving you 12/30. 25 minus 12 is 13 so you get 13/30.

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Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.

kirza4 [7]

Answer:

$-3\frac{1}{2}$

Step-by-step explanation:

-3.5 means -(3 + $\frac{1}{2}$ )

In other words, -3.5 = $-3\frac{1}{2}$

When we draw two numbers $-3\frac{1}{3}$ and $-3\frac{1}{2}$ on a number line, $-3\frac{1}{2}$ comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, $-3\frac{1}{2}$ is smaller than $-3\frac{1}{3}$ .

$-3\frac{1}{2}$

Lauren is not correct.

3 0

3 years ago

HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$