Question

What is the value of a?

5/6(a−8)=7

Answer 1

@563blackghost

Answer 2

Start by distributing the 6, so
5\[5\div6a -48=7\]

Answer 3

wait 5/6 is a fraction

Answer 4

Wait is it...

\(\huge{\frac{5}{6}(a-8)=7}\) ?

Answer 5

yes

Answer 6

Well that clears the confusion :)

Answer 7

First distribute `5\6` into the paranthesis....

\(\huge{((\frac{5}{6} \times a - (8 \times \frac{5}{6}))=7}\)

What would that equal?

Answer 8

Ok the fraction would simplify as

\[\frac{ 5(a-8) }{ 6 }=7\]

Answer 9

5a/6-20/3

Answer 10

You could also get rid of the fraction by multiplying both sides by the reciprocal, I like to do that because I hate fractions...

Answer 11

Correct :)

\(\huge{\frac{5}{6}a-\frac{20}{3}=7}\)

Now we would need to get like terms to one side....so we would add `20/3` on both sides...

\(\huge{\frac{5}{6}a(-\frac{20}{3}+\frac{20}{3})=7+\frac{20}{3}}\)

What would that equal?

Answer 12

5/6a=7 20/3

Answer 13

@563blackghost

Answer 14

Well lets simplify that fraction....We multiply with the denominator by 7 and then add 20 to it to get the fraction....so it would be...

\(\huge{\frac{5}{6}a=\frac{41}{3}}\)

Answer 15

ok

Answer 16

Now we need to isolate `a` so we would divide by `5/6`....

\(\huge{(\frac{5}{6} \div \frac{5}{6})a=\frac{41}{3} \div \frac{5}{6}}\)

What would a equal?

Answer 17

i need answer have to leave soon

Answer 18

@563blackghost i actualy have to go

Answer 19

actually*

Answer 20

That equation will give you the answer I cant give it away sorry :(

Answer 21

16.4 i actually have to go i am serious @563blackghost

Answer 22

I as well that is correct but its best to have it in fraction form so the answer would be \(\LARGE{\frac{82}{5}}\)