Math Problem Statement

resuelve

Evaluate the mathematical expression: \( \left( \frac{2}{5} - \left( \frac{1}{3} \right)^2 \right) \cdot \frac{5}{4} \).

Solution

The result of the given expression is 1336\frac{13}{36}.

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you subtract fractions with different denominators?
  2. What are the steps to square a fraction like (13)2\left(\frac{1}{3}\right)^2?
  3. How can you simplify the multiplication of two fractions?
  4. What is the significance of using parentheses in mathematical expressions?
  5. Can you explain why we simplify fractions in operations?

Tip: Always remember to find a common denominator when subtracting or adding fractions with different denominators!

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic Operations
Order of Operations

Formulas

Subtraction of fractions: \( a/b - c/d = (ad - bc)/bd \)
Squaring a fraction: \( \left( \frac{a}{b} \right)^2 = \frac{a^2}{b^2} \)
Multiplication of fractions: \( \frac{a}{b} \cdot \frac{c}{d} = \frac{ac}{bd} \)

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8

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