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State which of the following fractions a...

State which of the following fractions are proper, improper or mixed :
`11""5/7`

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AI Generated Solution

The correct Answer is:
To determine whether the fraction \( 11 \frac{5}{7} \) is a proper fraction, improper fraction, or mixed fraction, we can follow these steps: ### Step 1: Identify the parts of the fraction The given fraction is \( 11 \frac{5}{7} \). This fraction consists of two parts: - The whole number part: \( 11 \) - The fractional part: \( \frac{5}{7} \) ### Step 2: Understand the definitions - **Proper Fraction**: A fraction where the numerator is less than the denominator (e.g., \( \frac{3}{4} \)). - **Improper Fraction**: A fraction where the numerator is greater than or equal to the denominator (e.g., \( \frac{5}{4} \)). - **Mixed Fraction**: A fraction that includes both a whole number and a proper fraction (e.g., \( 2 \frac{1}{3} \)). ### Step 3: Analyze the given fraction In \( 11 \frac{5}{7} \): - The whole number part is \( 11 \). - The fractional part is \( \frac{5}{7} \). ### Step 4: Classify the fraction Since \( 11 \frac{5}{7} \) contains both a whole number and a fractional part, it is classified as a **mixed fraction**. ### Conclusion Thus, the fraction \( 11 \frac{5}{7} \) is a mixed fraction. ---
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