Question
Circle the fraction that is greater in each pair. a. \( \frac{1}{2} \) \( \frac{1}{3} \) c. \( \frac{1}{4} \) \( \frac{1}{2} \) b. b. \( \frac{1}{8} \quad \frac{1}{3} \) d. ORIGO Stepping Stones
Ask by Craig Moran. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- Circle 1/2 in pair (a).
- Circle 1/3 in pair (b).
- Circle 1/2 in pair (c).
- Check pair (d) for missing information.
Solution
Below are the comparisons for each pair of fractions:
1. For pair (a): 1/2 versus 1/3
• A common denominator is 6.
1/2 = 3/6 and 1/3 = 2/6.
• Since 3/6 > 2/6, 1/2 is greater.
→ Circle 1/2.
2. For pair (b): 1/8 versus 1/3
• A common denominator is 24.
1/8 = 3/24 and 1/3 = 8/24.
• Since 8/24 > 3/24, 1/3 is greater.
→ Circle 1/3.
3. For pair (c): 1/4 versus 1/2
• A common denominator is 4 or 8; using 8:
1/4 = 2/8 and 1/2 = 4/8.
• Since 4/8 > 2/8, 1/2 is greater.
→ Circle 1/2.
4. Part (d):
The text “ORIGO Stepping Stones” appears after part (d) and it isn’t clear what the fraction pair is for this part. Could you please check if any fractions are missing or if additional instructions need to be provided?
Let me know if you have more details or further questions!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
When comparing fractions, one fun trick is to visualize them with pizzas! If you think of a whole pizza being cut into 2 slices versus 3 slices, you'll see that each slice of the \( \frac{1}{2} \) pizza is larger than each slice of the \( \frac{1}{3} \) pizza. Thus, \( \frac{1}{2} \) is greater. Another helpful tip is to get a common denominator. For instance, to compare \( \frac{1}{4} \) and \( \frac{1}{2} \), you could convert \( \frac{1}{2} \) into fourths: \( \frac{1}{2} = \frac{2}{4} \). This makes it clear that \( \frac{2}{4} \) is bigger than \( \frac{1}{4} \), meaning \( \frac{1}{2} \) is greater!
