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Chapter 2: Problem 10

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

Short Answer

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

Step by step solution

01

Perform addition inside the bracket

Inside the brackets, we have the expression \(\frac{1+17}{6}\). First, we will perform the addition: $$ \frac{1+17}{6} = \frac{18}{6} $$
02

Perform division inside the bracket

Now, we will perform the division: $$ \frac{18}{6} = 3 $$ The expression inside the bracket simplifies to 3.
03

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: $$ 3\times3 = 9 $$
04

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.

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Most popular questions from this chapter

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