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Chapter 1: Problem 9

Use the order of operations to find each value. $$\frac{19+2\\{5+2[18+6(4+1)]\\}}{5 \cdot 6-3(5)-2}$$

Short Answer

Expert verified
Question: Evaluate the given expression: $$\frac{19+2\{5+2[18+6(4+1)]\}}{5 \cdot 6-3(5)-2}$$ Answer: $$\frac{221}{13}$$

Step by step solution

01

Solve the inner-most parentheses

We first solve the operations inside the inner-most parentheses \((4+1)\): $$\frac{19+2\\{5+2[18+6(5)]\\}}{5 \cdot 6-3(5)-2}$$
02

Solve the brackets

Now, we will solve the operations inside the brackets \([18+6(5)]\): $$\frac{19+2\\{5+2[48]\\}}{5 \cdot 6-3(5)-2}$$
03

Solve the braces

Next, we will solve the operations inside the braces \(\{5+2[48]\}\): $$\frac{19+2\\{101\\}}{5 \cdot 6-3(5)-2}$$
04

Solve the remaining operations in the numerator

Now, we will solve the remaining operations in the numerator: $$\frac{221}{5 \cdot 6-3(5)-2}$$
05

Solve the multiplication and division operations in the denominator

Next, we will solve the multiplication and division operations in the denominator: $$\frac{221}{30-15-2}$$
06

Solve the addition and subtraction operations in the denominator

Finally, we will solve the addition and subtraction operations in the denominator: $$\frac{221}{13}$$ The result of the given expression is $$\frac{221}{13}$$.

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Most popular questions from this chapter

For the following problems, convert each fraction to a percent. $$ \frac{27}{55} $$

For the following problems, perform each indicated operation. \(\frac{24}{75} \div \frac{8}{15}\)

For the following problems, perform each indicated operation. \(\frac{21}{25} \cdot \frac{15}{14}\)

For the following problems, determine the missing numerator or denomin ator. \(\frac{3}{4}=\frac{?}{16}\)

For the following problems, determine the missing numerator or denomin ator. \(\frac{5}{3}=\frac{80}{?}\)
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