Math Problem Statement

5/0.11 + 14(8.38-0.11) =

Solution

Let's solve the expression step by step:

The expression is:

50.11+14(8.380.11)\frac{5}{0.11} + 14(8.38 - 0.11)

Step 1: Simplify the terms inside the parentheses

8.380.11=8.278.38 - 0.11 = 8.27

Step 2: Multiply the result by 14

14×8.27=115.7814 \times 8.27 = 115.78

Step 3: Divide 5 by 0.11

50.1145.45\frac{5}{0.11} \approx 45.45

Step 4: Add the two results together

45.45+115.78=161.2345.45 + 115.78 = 161.23

So, the final result is:

161.23\boxed{161.23}

Would you like to see the detailed steps for any part of this solution or have any other questions?

Related Questions:

  1. How do you solve expressions involving fractions and decimals?
  2. What are the properties of division with decimals?
  3. How can you check if the arithmetic operations have been done correctly?
  4. How would the result change if the numbers in the parentheses were different?
  5. How do you simplify more complex expressions with multiple operations?

Tip: Always perform operations inside parentheses first, followed by multiplication or division, and then addition or subtraction. This helps to avoid mistakes in order of operations.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Decimals
Order of Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8