Question

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

Answer 1

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

Answer 2

Five sixths of a number means:

Let the number be x..

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

Answer 3

This is given equal to -60..

So:

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

Now here you have to find x..

Answer 4

Getting this much @rannsan

Answer 5

I am trying to follow

Answer 6

Read the question and tell me what is that you are not understanding??

Is question clear to you or not ??

Answer 7

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

Answer 8

You have to get rid of 5/6 there..

Can you multiply both the sides by 6??

Answer 9

just multiply -60 with 6 and divide by 5

Answer 10

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

Answer 11

(-60)6 and divide by 5?

Answer 12

Can you solve that I have written above ??

Answer 13

NO

Answer 14

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

Answer 15

5X = -60?

Answer 16

No..

You have to multiply 6 with -60..

On Right hand side why you cancelled 6 ??

Answer 17

oops I misunderstood that one

Answer 18

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

\[5x = -360\]

Now divide by 5 both the sides to get x..

Answer 19

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

Answer 20

I am still not following

Answer 21

Where you lost ??

Answer 22

on everything...

Answer 23

I need step by step once again please.

Answer 24

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

Till this are you clear ??

Answer 25

(5/6x)6 = -60

Answer 26

Why are not multiplying 6 on right hand side ??

Answer 27

I thought I was

Answer 28

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..

Answer 29

oh ok let me see

Answer 30

(5/6x)6 = -60x6

Answer 31

Yes..

Answer 32

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

Answer 33

(5x)6 = -60x6

Answer 34

Do you know how we cancel things ??

Answer 35

no

Answer 36

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 ??

Answer 37

See like this:

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

So you are left with now:

\[5x = -360\]

Answer 38

yes

Answer 39

Sure no??

Getting ??

Answer 40

I am getting it, writing notes

Answer 41

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..

Answer 42

Are you really typing @rannsan

Answer 43

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

Answer 44

I think you are multiplying..

I said to divide..

You know what divide means ??

Answer 45

You did say divide
I was multiplying

Answer 46

\[5\div5x = 1\]

Answer 47

\[-360\div5\]

Answer 48

No you are still doing opposite:

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

Can you do this now ??

Answer 49

5x/5 = -360/5

Answer 50

Yes..

Answer 51

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

Right ??

Answer 52

x only

Answer 53

Yes..
This is on left hand side..

now can you solve right hand side??

Answer 54

x= -360/5

Answer 55

I divide the 5 by the -360?

Answer 56

Yes.. go ahead..

Answer 57

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

Answer 58

-647.8

Answer 59

I know ight isn't right

Answer 60

-360/5

Answer 61

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

Answer 62

-360/5=-72

Answer 63

thank you! once again