rannsan
Write the algebraic equation of:
Five-sixths of a number is -60. What is the number?
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SUROJ
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\[(5\div60)x =-60\]
waterineyes
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Five sixths of a number means:
Let the number be x..
So Five sixths of this number x will be : \(\frac{5}{6} \; of \;x = \frac{5}{6}x\)
waterineyes
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This is given equal to -60..
So:
\[\frac{5}{6}x = -60\]
Now here you have to find x..
waterineyes
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Getting this much @rannsan
rannsan
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I am trying to follow
waterineyes
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Read the question and tell me what is that you are not understanding??
Is question clear to you or not ??
rannsan
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it is clear I am following you I am just confused as to how to find what x is.
waterineyes
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You have to get rid of 5/6 there..
Can you multiply both the sides by 6??
SUROJ
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just multiply -60 with 6 and divide by 5
waterineyes
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\[\frac{5}{6}x \times 6= -60 \times 6\]
rannsan
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(-60)6 and divide by 5?
waterineyes
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Can you solve that I have written above ??
rannsan
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NO
waterineyes
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Can't you cancel 6 with 6 on Left hand side ??
rannsan
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5X = -60?
waterineyes
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No..
You have to multiply 6 with -60..
On Right hand side why you cancelled 6 ??
rannsan
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oops I misunderstood that one
waterineyes
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\[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\]
\[5x = -360\]
Now divide by 5 both the sides to get x..
rannsan
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\[5x \times = -60 \times 5x = -360
rannsan
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I am still not following
waterineyes
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Where you lost ??
rannsan
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on everything...
rannsan
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I need step by step once again please.
waterineyes
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\[\frac{5}{6}x \times 6= -60 \times 6\]
Till this are you clear ??
rannsan
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(5/6x)6 = -60
waterineyes
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Why are not multiplying 6 on right hand side ??
rannsan
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I thought I was
waterineyes
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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..
rannsan
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oh ok let me see
rannsan
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(5/6x)6 = -60x6
waterineyes
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Yes..
waterineyes
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Now on left hand side you can cancel 6 with bottom 6 right ??
rannsan
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(5x)6 = -60x6
waterineyes
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Do you know how we cancel things ??
rannsan
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no
waterineyes
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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 ??
waterineyes
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See like this:
\[\frac{5x}{\cancel{6}} \times \cancel{6} = -60 \times 6\]
So you are left with now:
\[5x = -360\]
rannsan
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yes
waterineyes
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Sure no??
Getting ??
rannsan
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I am getting it, writing notes
waterineyes
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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..
waterineyes
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Are you really typing @rannsan
rannsan
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5(5x) = (5)-360 25= -360(5) 25=-503.8 Ok I know that is wrong
waterineyes
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I think you are multiplying..
I said to divide..
You know what divide means ??
rannsan
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You did say divide
I was multiplying
rannsan
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\[5\div5x = 1\]
rannsan
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\[-360\div5\]
waterineyes
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No you are still doing opposite:
\[\frac{5x}{5} = \frac{-360}{5}\]
Can you do this now ??
rannsan
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5x/5 = -360/5
waterineyes
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Yes..
waterineyes
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Now when you cancel top 5 with bottom 5 you will left with x and not 1..
Right ??
rannsan
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x only
waterineyes
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Yes..
This is on left hand side..
now can you solve right hand side??
rannsan
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x= -360/5
rannsan
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I divide the 5 by the -360?
waterineyes
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Yes.. go ahead..
waterineyes
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\[\frac{-360}{5} = ??\]
rannsan
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-647.8
rannsan
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I know ight isn't right
rannsan
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-360/5
waterineyes
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\[\frac{-360}{5} = -72\]
rannsan
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-360/5=-72
rannsan
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thank you! once again