Question

Hi All, is there anyone who might be able to show me how to check for accuracy on this problem I worked? 2y/3-3/4=5/12. The answer is y=7/4 so I do know I need to replace y with 7/4 and work it but I can't seem to figure out how to lay that out? Anyone? Really appreciate any help:) Denise

Answer 1

\[\frac{2y}{3}-\frac{3}{4}=\frac{5}{12}\]\[ \qquad\downarrow \]\[\frac{2\times(7/4)}{3}-\frac{3}{4}=\frac{5}{12}\]\[\frac{14}{12}-\frac{3}{4}=\frac{5}{12}\]\[\frac{14}{12}-\frac{9}{12}=\frac{5}{12}\]\[14-9=5\]
which is true.
therefore y = 7/4 is a solution

Answer 2

oh thanks, sorry, got stuck on the phone, thank you soooooooooooo much, Denise:)

Answer 3

do you follow the method?

Answer 4

no, how did you get 14/12 UR:)?

Answer 5

I understand the LCD;) but don't see how you got the 14/12:)

Answer 6

and we just cancel out the 12's as denominators, I get that part too:)

Answer 7

\[\frac{2\times 7/4}{3}\]\[=\frac{14/3}{4}\]\[=\frac{14}{3}\frac{1}{4}\]\[=\frac{14}{12}\]

Answer 8

generalizing \[\frac{a/b}{c/d}=\frac{ad}{bc}\]

Answer 9

Oh, that is something I totally forgot how to do, I see what you did though.
Can't say I could do another one but I'll try another and see;) practice practice right;)

Answer 10

Thank you again, I think that was the last one I had to check and my homework is done:) Denise:)

Answer 11

simplify \[\frac{1}{3/b}\]

Answer 12

sec, let me think a minute:)

Answer 13

1/3 first right?

Answer 14

the simplified form is a single fraction

Answer 15

where has the b gone?

Answer 16

you can use the generalized formula above

Answer 17

1/3 over b, nope, Im not getting it.

Answer 18

right, I have it written here on my paper, sec

Answer 19

arrrrrrrrrrrrrg:(

Answer 20

ok so the step is to multiply both the numerator and denominator by the same thing,

Answer 21

you have to eliminate the b right?

Answer 22

\[\frac{1}{3/b}\]
times both top and bottom by b , what do you get?

Answer 23

ohhhhhhhhhhhhhhhhhhhhhhh

Answer 24

1b/3b and cancel out b's

Answer 25

\[ \frac{1}{3/b}\]\[ =1\times\frac{1}{3/b}\]\[ =\frac{b}{b}\times\frac{1}{3/b}\]\[=...\]

Answer 26

the simplified form will have a b in it

Answer 27

oh:( Thought I had it, sec

Answer 28

B1/3?

Answer 29

oh that is looking much better

Answer 30

remember\[1\times b=b\],so you can simplify one bit more

Answer 31

\[\frac{1}{3/b}=\frac{b\times1}{3}=...\]

Answer 32

so it is just B/3!!

Answer 33

!!!!yes

Answer 34

LOL:) Thank you, you are so kind to teach me that:)
That will come in handy I can tell you, thank you so much:)

Answer 35

we had a fraction in a fraction, and we pulled the denominator in the denominator, into the numerator

Answer 36

Ok, well, I better get finished up here. I will be back tomorrow night I suspect. You are not in Texas I hope?? Storms/Tornados?

Answer 37

hmm, no.
i live in Australia

Answer 38

Oh that is something, I can tell folks I got help all the way from Australia on my Algebra!! Nite UR, hope to see you again;) Denise

Answer 39

Until next time, all the best

Answer 40

same to you:)