Question

p-1/4 times 3= -5/6

Answer 1

\[p-\frac{ 1 }{ 4 } * 3 = \frac{ 5 }{ 6 }\] is this correct?

Answer 2

yes but the 5/6 is negative, I just double checked

Answer 3

or is it \[(p-\frac{ 1 }{ 4 }) *3 = -\frac{ 5 }{ 6 }\]

Answer 4

It is the first way you typed it out. Only -5/6

Answer 5

okay

Answer 6

once again, lets play with the order of operations:
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction

multiply (-1/4) * 3 first

Answer 7

then you should get \[p - \frac{ 3 }{ 4 } = - \frac{ 5 }{ 6 }\]

Answer 8

Yes, we got 3/4

Answer 9

negative 3/4, dont forget the negative sign attatched to it

Answer 10

yes

Answer 11

now you can solve for p.
use the inverse operation to add 3/4 to both sides.
\[p = \frac{ 3 }{ 4 } - \frac{ 5 }{ 6 }\]

Answer 12

Note: when combining fractions, find a common denominator between both fractions

Answer 13

12 would be the LCD or "least common denominator"

Answer 14

Do we keep the negative on the 5/6?