Write the following expression using the fewest possible terms. (5+3/8y)+(1/4y-2). Would the answer be 18Y -3 or 18Y +3 or 5/8 Y -3 or 58Y +3 which one is the correct answer
To simplify the expression (5+3/8y)+(1/4y-2), we can combine like terms.
Starting with the first term: 5 + 3/8y, we cannot combine it with the second term because they have different variables: y and -2.
Now let's simplify the second term independently: 1/4y - 2.
To combine the fractions, we need a common denominator. Since 8 is divisible by 4, we can convert 1/4y to 2/8y.
Now the expression becomes: 5 + 3/8y + 2/8y - 2.
To combine both y terms, we add the numerators: 3y/8 + 2y/8 = (3y + 2y) / 8 = 5y / 8.
So the simplified expression is 5 + 5y / 8 - 2.
To combine the integers, we subtract them: 5 - 2 = 3.
Thus, the final simplified expression is 3 + 5y / 8.
So the correct answer would be 3 + 5y / 8.