# Manipulating algebra fractions [Solved!]

### My question

when solving the right hand side of an equation (fluid flow )

from

sqrt(25/(1-(x^4/0.1^4)))

goes to

-sqrt(25/(1-10000X^4))

this is probably a fairly basic rule but how is this done please (confused !)

### Relevant page

6. Multiplication and Division of Fractions

### What I've done so far

i dont understand how to move the equation to go from one to the other form

X

when solving the right hand side of an  equation (fluid flow )

from

sqrt(25/(1-(x^4/0.1^4)))

goes to

-sqrt(25/(1-10000X^4))

this is probably a fairly basic rule but how is this done please (confused !)
Relevant page

<a href="https://www.intmath.com/factoring-fractions/6-multiplication-division-fractions.php">6. Multiplication and Division of Fractions</a>

What I've done so far

i dont understand how to move the equation to go from one to the other form

## Re: Manipulating algebra fractions

@Mickb

(1) I edited your question to use the math input system, so it's easier for everyone to read and follow. (You can click on "Show code" to see how I did it.)

(2) Your original question had a minus before the second line of working, which I retained in your question in order to point out it's dangerous to use "-" as a line starter in mathematics!

(3) Your original question has a lower case x in the first line and an upper case X in the second. This should also be avoided as they are not the same thing!

So the question should be

How does it become:

sqrt(25/(1-10000x^4))

To answer the question, let's consider this bit only first:

x^4/0.1^4

i. What is 0.1 as a fraction?

ii. What is (0.1)^4 as a fraction?

iii. Can you complete: "Dividing by a fraction is equivalent to multiplying by its......" (Hint: See the page you came from: Multiplying and Dividing Fractions)

X

@Mickb

(1) I edited your question to use the math input system, so it's easier for everyone to read and follow. (You can click on "Show code" to see how I did it.)

(2) Your original question had a minus before the second line of working, which I retained in your question in order to point out it's dangerous to use "-" as a line starter in mathematics!

(3) Your original question has a lower case x in the first line and an upper case X in the second. This should also be avoided as they are not the same thing!

So the question should be

How does it become:

sqrt(25/(1-10000x^4))

To answer the question, let's consider this bit only first:

x^4/0.1^4

i. What is 0.1 as a fraction?

ii. What is (0.1)^4 as a fraction?

iii. Can you complete: "Dividing by a fraction is equivalent to multiplying by its......" (Hint: See the page you came from: <a href="https://www.intmath.com/factoring-fractions/6-multiplication-division-fractions.php">Multiplying and Dividing Fractions</a>)

## Re: Manipulating algebra fractions

dividing by a fraction = multiply by the inverse

so

x^4 / 0.1^4

is

x^4 / 0.0001

=x^4 * 10000

therefore 10000 x^4

simps!

thank you

X

dividing by a fraction = multiply by the inverse

so

x^4  / 0.1^4

is

x^4  / 0.0001

=x^4 * 10000

therefore 10000 x^4

simps!

thank you

## Re: Manipulating algebra fractions

Great - glad you've got it now.

X

Great - glad you've got it now.

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