Which model represents a fraction less than 3/5?
The Correct Answer and Explanation is:
To determine which model represents a fraction less than 3/5, we must first understand what 3/5 means and how to compare other fractions or models to it.
Understanding 3/5:
- 3/5 is a fraction that means 3 parts out of 5 equal parts are shaded or taken.
- In decimal form, 3/5 equals 0.6.
Comparing Fractions:
To find a fraction less than 3/5, you must look for a fraction whose decimal value is less than 0.6 or whose numerator is less than 3 when the denominator is 5. You can also find an equivalent fraction with a different denominator and compare.
Visual Model Comparison:
Let us suppose you are given visual models (like shapes divided into parts and some parts shaded). You should look for a model where:
- The total number of parts is equal or can be compared to 5.
- The shaded part represents a smaller proportion than 3 out of 5.
Example:
If one model shows 2 out of 5 parts shaded, that is the fraction 2/5. In decimal, 2/5 = 0.4, which is less than 0.6, so 2/5 is less than 3/5.
Other examples of fractions less than 3/5 include:
- 1/5 = 0.2
- 2/6 = approximately 0.333
- 3/6 = 0.5
- 4/10 = 0.4
Each of these is less than 0.6.
Correct Answer:
Any model that shows a fraction like 2/5, 1/2, 3/8, or any fraction with a value less than 0.6 correctly represents a fraction less than 3/5.
Final Tip:
Always convert the fraction to a decimal or draw a number line if needed. Visualizing the fraction helps determine its relative size. By comparing the shaded portions to 3/5, you can identify the correct model.
