How do you solve #\frac{1}{8} - \frac{3}{4} p = - \frac{1}{2}#?

1 Answer
Jim G.
Oct 6, 2016

#p=5/6#

Explanation:

Begin by multiplying #color(blue)"All"# terms on both sides of the equation by the LCM of 8 , 4 and 2 which is 8.
Doing this will eliminate all fractions from the equation.

#(cancel(8)^1xx1/cancel(8)^1)-(cancel(8)^2xx3/cancel(4)^1 p)=(cancel(8)^4xx-1/cancel(2)^1)#

#rArr1-6p=-4#

subtract 1 from both sides.

#cancel(1)cancel(-1)-6p=-4-1#

#rArr-6p=-5#

To solve for p, divide both sides by - 6.

#(cancel(-6) p)/cancel(-6)=(-5)/(-6)#

#rArrp=5/6" is the solution"#

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