How do you simplify this expression
3/4(20a+12)+1/4(20a+12)
To simplify:
(3/4 + 1/4)(20a + 12) = 20a + 12
simplify 3/4 (20a+12)+1/4 (20a+12)
To simplify the expression 3/4(20a+12) + 1/4(20a+12), you need to distribute the fractions to the terms inside the parentheses and then combine like terms.
First, distribute the 3/4 to the terms inside the parentheses:
(3/4)*(20a+12) = (3/4)*(20a) + (3/4)*(12)
This simplifies to:
15a + 9
Next, distribute the 1/4 to the terms inside the parentheses:
(1/4)*(20a+12) = (1/4)*(20a) + (1/4)*(12)
This simplifies to:
5a + 3
Now, combine the simplified terms:
(15a + 9) + (5a + 3)
Combining like terms, we get:
20a + 12
Therefore, the simplified expression is 20a + 12.