https://file.aiquickdraw.com/mathbot/file/1728668156246ihmwu1wi.jpg

The expression in the image is:

\[
\left(\frac{1}{4} \cdot 4 - \frac{7}{8}\right) \cdot \sqrt[3]{4}
\]

Let's solve it step by step:

### Step 1: Simplify the expression inside the parentheses
\[
\frac{1}{4} \cdot 4 - \frac{7}{8}
\]

- \(\frac{1}{4} \cdot 4 = 1\)
- So the expression becomes:
\[
1 - \frac{7}{8} = \frac{8}{8} - \frac{7}{8} = \frac{1}{8}
\]

### Step 2: Find the cube root of 4
\[
\sqrt[3]{4} \approx 1.5874
\]

### Step 3: Multiply the simplified results
\[
\frac{1}{8} \cdot \sqrt[3]{4} = \frac{1}{8} \cdot 1.5874 \approx 0.1984
\]

So, the approximate value of the expression is \(0.1984\).

Would you like more details or have any questions?

### Related Questions:
1. What is the cube root of a number and how is it calculated?
2. How can we convert fractions to decimals for easier multiplication?
3. Why is simplifying expressions within parentheses the first step in solving equations?
4. What methods exist for estimating cube roots when they are not perfect cubes?
5. How does distributing fractions in multiplication work?

**Tip:** When working with fractions, try to simplify wherever possible before proceeding with further operations to make the calculation easier.

Solve the expression: \( \left( \frac{1}{4} \cdot 4 - \frac{7}{8} \right) \cdot \sqrt[3]{4} \)

Learn how to simplify the expression involving fractions and cube roots: \( \left( \frac{1}{4} \cdot 4 - \frac{7}{8} \right) \cdot \sqrt[3]{4} \). This step-by-step solution covers key concepts in arithmetic and algebra, including fraction multiplication, cube roots, and order of operations. Ideal for students in Grades 8-10.

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