5/4(a-8) =2/3

Question

5/4(a-8) =2/3

anonymous · Answer

Do you want to find 'a'?

anonymous · Answer

yes

anonymous · Answer

Being by isolating the variable, to do this we divide both sides of the equation by 5/4. Remember that dividing a fraction by another fraction is really multiplying the first fraction by the reciprocal of the dividing fraction.
$$(a - 8) = \frac{ 2 }{ 3 } \times \frac{ 4 }{ 5 }$$
We get$$a - 8 = \frac{ 8 }{ 15 }$$
Now you add 8 to both sides to get a on it's own..$$a = \frac{ 8 }{ 15 } +8$$
Now we need a common denominator to add these fractions, so..$$a = \frac{ 8 }{ 15 } +\frac{ 120 }{ 15 }$$
Now we have $$a = \frac{ 128 }{ 15 }$$

anonymous · Answer

okkk...

anonymous · Answer

What doesn't make sense, I'll try to explain better.

anonymous · Answer

so can you simplify the fraction?

whpalmer4 · Answer

No, factors of 15 are 3,5, and 128 is not divisible by either one.

anonymous · Answer

No but you can create a mixed fraction.

anonymous · Answer

Well look at the factors of 15, there's 1, 3, 5 and 15. 128 isn't divisible by any of those, so it can't be simplified. If you want it in mixed number it's:$$8\frac{ 8 }{ 15 }$$

anonymous · Answer

The answers I can choose from are 
6 14/15
7 1/15
8 8/15
8 2/3

whpalmer4 · Answer

You could write it as a mixed fraction = $$8\frac{ 8 }{ 15 }$$

anonymous · Answer

ok, great. Thank you so much!