If we want to perform the operation (3/4 + 6/a), we need a common denominator between the two fractions. Here, the denominators are 4 and "a" respectively. The common denominator for these two fractions would be 4a.
To convert each fraction to have the common denominator 4a, multiply the numerator and denominator of each fraction by whatever is missing from its denominator to make it the common denominator:
So, we convert the first fraction, 3/4, by multiplying both its numerator and denominator by a:
(3 * a) / (4 * a) = 3a / 4a
For the second fraction, 6/a, we multiply both its numerator and denominator by 4:
(6 * 4) / (a * 4) = 24 / 4a
Now that both fractions have the common denominator of 4a, we can combine them:
3a / 4a + 24 / 4a = (3a + 24) / 4a
If it's necessary or desired, you can further simplify this expression, but without knowing the value of a or any further instructions, we can leave it in this form, as it's fully combined with a common denominator and can’t be reduced any further without more information.
