Here's the question you clicked on:
horsealot203
5/4(a-8) =2/3
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 \[a = \frac{ 128 }{ 15 }\]
What doesn't make sense, I'll try to explain better.
so can you simplify the fraction?
No, factors of 15 are 3,5, and 128 is not divisible by either one.
No but you can create a mixed fraction.
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:\[8\frac{ 8 }{ 15 }\]
The answers I can choose from are 6 14/15 7 1/15 8 8/15 8 2/3
You could write it as a mixed fraction = \[8\frac{ 8 }{ 15 }\]
ok, great. Thank you so much!