It appears you have an algebraic expression that you want to simplify or solve. Let's work through it step by step.
The expression is:
(5a/36) - (a/4)
First, we need to get a common denominator for both fractions so that we can combine them. The least common denominator (LCD) for 36 and 4 is 36 because 36 is the smallest number that both denominators can divide into without leaving a remainder.
So we must convert the second fraction to have a denominator of 36. Since 4 goes into 36 nine times (4 * 9 = 36), we multiply both the numerator and the denominator of the second fraction by 9 to get an equivalent fraction with a denominator of 36.
(5a/36) - (a/4 * 9/9)
(5a/36) - (9a/36)
Now that both fractions have the same denominator, we can subtract the numerators:
5a - 9a = -4a
So, the simplified version of the expression is:
-4a/36
We can simplify this fraction further by reducing it. Both the nominator and the denominator can be divided evenly by 4:
(-4a/4) / (36/4)
(-a) / 9
The final expression is:
-a/9
This is as simplified as the expression can get.
