Question

Solve:

Answer 1

\[\frac{ 4 }{ 3 }x = 1\frac{ 5 }{ 7 }\]

Answer 2

The number on right hand side is called as Mixed fraction...

Mixed Fraction can be changed to normal fraction by using this:

\[a \frac{b}{c} = \frac{a \cdot c + b}{c}\]

Answer 3

So, firstly solve right hand side first..

Using above concept that I gave now: try to solve:

\[1 \frac{5}{7 } = ??\]

Answer 4

I am expecting a reply atleast...

Answer 5

Sorry my computer was frozen @waterineyes

Answer 6

12/7 @waterineyes

Answer 7

@waterineyes

Answer 8

You there??

Answer 9

Sorry, this time my internet got frozen... :)

Answer 10

Yes

Answer 11

It's okay and thank you for understanding

Answer 12

So you have now:

\[\frac{4}{3}x =\frac{12}{7}\]

Answer 13

Hey, it is okay..

Can you cross multiply there and solve for x or I should tell now step by step???

Answer 14

Or I think there is no need to cross multiply also here...

Answer 15

um i think if i cross multiply ill come out with:
28/36 ?
idk if i did it wrong

Answer 16

First Step : Just multiply by 3 both the sides... And tell me what do you get..

Don't worry if it is wrong, I am here to correct you only.. :)

Answer 17

okay, would i multiply 12/7 by 3? and get 36/21?

Answer 18

You have to multiply by 3 both the sides, let us do one by one..

Multiply by 3 first on left hand side and tell me what did you get??

Answer 19

And also, just multiply 3 with numerator part, don't multiply it with denominator part of left or right hand side..

Now do and show me where you have reached?

Answer 20

ok i got \[\frac{ 12 }{ 3 }x = \frac{ 36 }{ 7 }\]
?

Answer 21

Hey see, you cancel 3 with 3 on left hand side, you have written 12/3 that is 4 itself...

See here:

\[3 \times \frac{4}{3}x = 3 \times \frac{12}{7} \implies \cancel{3} \times \frac{4}{\cancel{3}}x = \frac{36}{7} \implies \color{green}{4x = \frac{36}{7}}\]

Answer 22

For the purpose of cancellation, I have told you to multiply 3, BUT ONE THING YOU MUST REMEMBER, WHAT YOU ARE DOING ADDITIONALLY, YOU WILL DO WITH BOTH LEFT AS WELL AS RIGHT SIDE..

As, I am here multiplying additionally with 3, so I just can't multiply it only with left hand side, I have to multiply it with right hand side to maintain equality between LHS and RHS..

Answer 23

Are you getting this??

Answer 24

Now divide by 4 both the sides:

\[\frac{4x}{4} = \frac{36}{4 \times 7} \implies x = \frac{\cancel{36}^9}{\cancel{4}^1 \times 7} \implies \color{blue}{x = \frac{9}{7}}\]

Answer 25

I have to go now..

Please try to understand the last step what I have done, surely you will get..

If not, then when I will come online, do ask me where you are not getting...

Going..

Answer 26

ok thank you i get it! :) my computer is being really slow so sorry if this is really late

Answer 27

@waterineyes ^