Problem 10 - Elementary Algebra

Question

For the following problems, simplify the expressions. $$ 48-3\left[\frac{1+17}{6}\right] $$

Step-by-Step Solution

Answer

Question: Simplify the expression \(48 - 3\times\left(\frac{1+17}{6}\right)\). Answer: 39

Step 1: Perform addition inside the bracket

Inside the brackets, we have the expression \(\frac{1+17}{6}\). First, we will perform the addition: $$ \frac{1+17}{6} = \frac{18}{6} $$

Step 2: Perform division inside the bracket

Now, we will perform the division: $$ \frac{18}{6} = 3 $$ The expression inside the bracket simplifies to 3.

Step 3: Multiply the result with the number outside the bracket

Now, we have: \(48 - 3\times\left(3\right)\). We will multiply the number outside the bracket (3) with the simplified expression: $$ 3\times3 = 9 $$

Step 4: Subtract the result from the given number

Finally, we will subtract the result obtained in step 3 from the given number (48): $$ 48 - 9 = 39 $$ The simplified expression is 39.