Question

topic: proper and improper fractions
progress
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
determine whether each fraction on the left is a proper or an improper fraction. options on the right may be used more than once.
\\(\frac{5}{2}\\)
\\(\frac{2}{5}\\)
\\(\frac{15}{15}\\)
\\(\frac{26}{19}\\)
proper fraction
improper fraction
clear
click and hold an item in one column, then drag it to the matching item in the other column. be sure your cursor is over the target before releasing. the target will highligh
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Explanation:

To solve this, we recall the definitions:

• A proper fraction has a numerator less than its denominator (\( \text{numerator} < \text{denominator} \)).
• An improper fraction has a numerator greater than or equal to its denominator (\( \text{numerator} \geq \text{denominator} \)).

Analyzing each fraction:

1. \( \boldsymbol{\frac{5}{2}} \): Numerator (\( 5 \)) > Denominator (\( 2 \)) → Improper fraction.
2. \( \boldsymbol{\frac{2}{5}} \): Numerator (\( 2 \)) < Denominator (\( 5 \)) → Proper fraction.
3. \( \boldsymbol{\frac{15}{15}} \): Numerator (\( 15 \)) = Denominator (\( 15 \)) → Improper fraction (since \( \geq \) includes equality).
4. \( \boldsymbol{\frac{26}{19}} \): Numerator (\( 26 \)) > Denominator (\( 19 \)) → Improper fraction.

Final Matching:

• \( \frac{5}{2} \) → Improper fraction
• \( \frac{2}{5} \) → Proper fraction
• \( \frac{15}{15} \) → Improper fraction
• \( \frac{26}{19} \) → Improper fraction

(Note: In a drag - and - drop interface, you would drag \( \frac{5}{2} \), \( \frac{15}{15} \), \( \frac{26}{19} \) to "Improper fraction" and \( \frac{2}{5} \) to "Proper fraction".)

Answer:

To solve this, we recall the definitions:

• A proper fraction has a numerator less than its denominator (\( \text{numerator} < \text{denominator} \)).
• An improper fraction has a numerator greater than or equal to its denominator (\( \text{numerator} \geq \text{denominator} \)).

Analyzing each fraction:

1. \( \boldsymbol{\frac{5}{2}} \): Numerator (\( 5 \)) > Denominator (\( 2 \)) → Improper fraction.
2. \( \boldsymbol{\frac{2}{5}} \): Numerator (\( 2 \)) < Denominator (\( 5 \)) → Proper fraction.
3. \( \boldsymbol{\frac{15}{15}} \): Numerator (\( 15 \)) = Denominator (\( 15 \)) → Improper fraction (since \( \geq \) includes equality).
4. \( \boldsymbol{\frac{26}{19}} \): Numerator (\( 26 \)) > Denominator (\( 19 \)) → Improper fraction.

Final Matching:

• \( \frac{5}{2} \) → Improper fraction
• \( \frac{2}{5} \) → Proper fraction
• \( \frac{15}{15} \) → Improper fraction
• \( \frac{26}{19} \) → Improper fraction

(Note: In a drag - and - drop interface, you would drag \( \frac{5}{2} \), \( \frac{15}{15} \), \( \frac{26}{19} \) to "Improper fraction" and \( \frac{2}{5} \) to "Proper fraction".)