Question

question coming below

Answer 1

Solve \[\frac{ 5 }{ 12 } m + \frac{ 2 }{ 3 } = -\frac{ 3 }{ 4 }\] for \[m\]

Answer 2

@zepdrix can you help me pls

Answer 3

\[\frac{ 5 }{ 3\cdot4} m + \frac{ 2 }{ 3 } = -\frac{ 3 }{ 4 }\]

If we multiply both sides by 3 and then 4, or simpy 12, it will make this a bit easier to work with.\[\large 5m+4\cdot2=-3\cdot3\]

Understand what I did there?

Answer 4

I cancelled some stuff out, maybe I shouldn't have skipped that step :) lol

Answer 5

Its fine let me see.. @zepdrix

Answer 6

the dot in the middle of 4 and 2 is that multiply or decimal?

Answer 7

Multiplication :)

Answer 8

I love that picture :O Ariel so pretty

Answer 9

@zepdrix I drew it lol thanks

Answer 10

OOO nice! :)

Answer 11

I got -1.125 but as a fraction its.. -1/5

Answer 12

Hmm :o ok lemme show some steps real quick, and maybe you see where it went wrong.

Answer 13

that is one of my answer choices

Answer 14

\[\large 12\left(\frac{5}{12} m + \frac{2}{3}\right) =\left(-\frac{3}{4}\right)12\]

Multiplying both sides by 12, distributing the 12 to each term in the bracket gives us,\[\large \cancel{12}\frac{5}{\cancel{12}}m+(\cancel3\cdot4)\frac{2}{\cancel3}=\left(-\frac{3}{\cancel{4}}\right)(3\cdot\cancel{4})\]

12 is 3times4, so i wrote it that way on the other terms so we can easily cancel stuff out.
This leaves us with,\[\large 5m+8=-9\]Subtracting 8 from each side,\[\large 5m=-17\]Then finally we divide each side by 5,\[\large m=-\frac{17}{5}\]

Is that one of our options? :o

Answer 15

no.. let me post my options

Answer 16

a. \[-\frac{ 1 }{ 5 }\]

b. \[-\frac{ 5 }{ 144 }\]

c. \[-3\frac{ 2 }{ 5 }\]

d. \[-\frac{ 85 }{ 144 }\]

Answer 17

@GoldPhenoix

Answer 18

Ok so the answer we came up with is clearly not a, b or d.

If we rewrite our answer as a mixed number, does it match c?

Answer 19

I mean @zepdrix lol

Answer 20

Yes

Answer 21

Yayyy \:D/

Answer 22

@zepdrix Thank you so much and your time ((:

Answer 23

If the multiplying by 12 thing is still really confusing, let me know :d
You probably have more problems like this anyway :D
practice practice