Write the algebraic equation of:
Five-sixths of a number is -60. What is the number?

- anonymous

Write the algebraic equation of:
Five-sixths of a number is -60. What is the number?

- katieb

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- anonymous

\[(5\div60)x =-60\]

- anonymous

Five sixths of a number means:
Let the number be x..
So Five sixths of this number x will be : \(\frac{5}{6} \; of \;x = \frac{5}{6}x\)

- anonymous

This is given equal to -60..
So:
\[\frac{5}{6}x = -60\]
Now here you have to find x..

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## More answers

- anonymous

Getting this much @rannsan

- anonymous

I am trying to follow

- anonymous

Read the question and tell me what is that you are not understanding??
Is question clear to you or not ??

- anonymous

it is clear I am following you I am just confused as to how to find what x is.

- anonymous

You have to get rid of 5/6 there..
Can you multiply both the sides by 6??

- anonymous

just multiply -60 with 6 and divide by 5

- anonymous

\[\frac{5}{6}x \times 6= -60 \times 6\]

- anonymous

(-60)6 and divide by 5?

- anonymous

Can you solve that I have written above ??

- anonymous

NO

- anonymous

Can't you cancel 6 with 6 on Left hand side ??

- anonymous

5X = -60?

- anonymous

No..
You have to multiply 6 with -60..
On Right hand side why you cancelled 6 ??

- anonymous

oops I misunderstood that one

- anonymous

\[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\]
\[5x = -360\]
Now divide by 5 both the sides to get x..

- anonymous

\[5x \times = -60 \times 5x = -360

- anonymous

I am still not following

- anonymous

Where you lost ??

- anonymous

on everything...

- anonymous

I need step by step once again please.

- anonymous

\[\frac{5}{6}x \times 6= -60 \times 6\]
Till this are you clear ??

- anonymous

(5/6x)6 = -60

- anonymous

Why are not multiplying 6 on right hand side ??

- anonymous

I thought I was

- anonymous

Multiplying 6 both sides means you have to multiply 6 on left as well as right hand side..
You have multiplied with left hand side only..

- anonymous

oh ok let me see

- anonymous

(5/6x)6 = -60x6

- anonymous

Yes..

- anonymous

Now on left hand side you can cancel 6 with bottom 6 right ??

- anonymous

(5x)6 = -60x6

- anonymous

Do you know how we cancel things ??

- anonymous

no

- anonymous

See:
you have cancel one 6 in left hand side..
but how can you cancel one 6??
you can cancel two 6 and that too will be in the form:
6 - 6 you can cancel them.
6/6 here also you can cancel them..
Getting ??

- anonymous

See like this:
\[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\]
So you are left with now:
\[5x = -360\]

- anonymous

yes

- anonymous

Sure no??
Getting ??

- anonymous

I am getting it, writing notes

- anonymous

Now you are just one step away:
You just need to divide by 5 both the sides to get rid of 5 attached to x..
can you do that?
Both the sides means you will be divide left as well as right hand side by 5..
Show me what you did..

- anonymous

Are you really typing @rannsan

- anonymous

5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong

- anonymous

I think you are multiplying..
I said to divide..
You know what divide means ??

- anonymous

You did say divide
I was multiplying

- anonymous

\[5\div5x = 1\]

- anonymous

\[-360\div5\]

- anonymous

No you are still doing opposite:
\[\frac{5x}{5} = \frac{-360}{5}\]
Can you do this now ??

- anonymous

5x/5 = -360/5

- anonymous

Yes..

- anonymous

Now when you cancel top 5 with bottom 5 you will left with x and not 1..
Right ??

- anonymous

x only

- anonymous

Yes..
This is on left hand side..
now can you solve right hand side??

- anonymous

x= -360/5

- anonymous

I divide the 5 by the -360?

- anonymous

Yes.. go ahead..

- anonymous

\[\frac{-360}{5} = ??\]

- anonymous

-647.8

- anonymous

I know ight isn't right

- anonymous

-360/5

- anonymous

\[\frac{-360}{5} = -72\]

- anonymous

-360/5=-72

- anonymous

thank you! once again

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