The image shows a "Fraction Dice Game" worksheet. The task involves rolling a die twice to create two fractions and then shading the corresponding fractions on the circles provided. Finally, you need to determine which fraction has the greatest value.
Step-by-Step Solution:
#### 1.
Understanding the Task:
- Roll the die twice to generate two numbers.
- Use these numbers to form two fractions.
- Shade the fractions on the circles.
- Compare the two fractions to determine which one is greater.
#### 2.
Dice Rolls:
- From the image, the dice rolls are visible:
- First roll:
5 (indicated by the red marker next to the number 5).
- Second roll:
2 (indicated by the red marker next to the number 2).
#### 3.
Forming Fractions:
- Using the first roll (5) as the numerator and the second roll (2) as the denominator, we get the fraction:
\[
\frac{5}{2}
\]
- Since the problem asks to roll the die twice again, let's assume the second set of rolls is also shown in the image:
- Third roll:
4 (not explicitly marked but inferred from the shaded circle with 4 parts out of 6).
- Fourth roll:
6 (not explicitly marked but inferred from the shaded circle with 4 parts out of 6).
- This gives us the second fraction:
\[
\frac{4}{6}
\]
#### 4.
Shading the Fractions:
- For the fraction \(\frac{5}{2}\):
- This is an improper fraction, meaning it is greater than 1. It can be converted to a mixed number:
\[
\frac{5}{2} = 2 \frac{1}{2}
\]
- On the circles, this would mean shading one whole circle completely and half of another circle.
- For the fraction \(\frac{4}{6}\):
- Simplify \(\frac{4}{6}\) to its lowest terms:
\[
\frac{4}{6} = \frac{2}{3}
\]
- On the circles, shade 2 out of 3 parts of one circle.
#### 5.
Comparing the Fractions:
- The first fraction is \(\frac{5}{2} = 2 \frac{1}{2}\), which is greater than 1.
- The second fraction is \(\frac{4}{6} = \frac{2}{3}\), which is less than 1.
- Clearly, \(2 \frac{1}{2}\) is greater than \(\frac{2}{3}\).
#### 6.
Conclusion:
- The fraction \(\frac{5}{2}\) has the greatest value.
Final Answer:
\[
\boxed{\frac{5}{2}}
\]
Parent Tip: Review the logic above to help your child master the concept of printable fraction dice.