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05/12/2023 · Primary School
4. Which of the following has the greatest value \( \begin{array}{ll}\text { (1) } 3 \frac{3}{4} & \text { (2) } \frac{17}{5} \\ \text { (3) } 2 \frac{4}{5} & \text { (4) } \frac{13}{3}\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine which of the given values has the greatest value, we will convert all the mixed numbers and fractions into decimal form for easier comparison.
1. **Convert \(3 \frac{3}{4}\) to decimal:**
\[
3 \frac{3}{4} = 3 + \frac{3}{4} = 3 + 0.75 = 3.75
\]
2. **Convert \(\frac{17}{5}\) to decimal:**
\[
\frac{17}{5} = 3.4
\]
3. **Convert \(2 \frac{4}{5}\) to decimal:**
\[
2 \frac{4}{5} = 2 + \frac{4}{5} = 2 + 0.8 = 2.8
\]
4. **Convert \(\frac{13}{3}\) to decimal:**
\[
\frac{13}{3} \approx 4.3333 \quad (\text{since } 13 \div 3 = 4.3333)
\]
Now we have the following decimal values:
- \(3 \frac{3}{4} = 3.75\)
- \(\frac{17}{5} = 3.4\)
- \(2 \frac{4}{5} = 2.8\)
- \(\frac{13}{3} \approx 4.3333\)
Comparing these values:
- \(3.75\)
- \(3.4\)
- \(2.8\)
- \(4.3333\)
The greatest value among these is \(\frac{13}{3} \approx 4.3333\).
Thus, the answer is:
\[
\boxed{\frac{13}{3}}
\]
Quick Answer
The greatest value is \(\frac{13}{3}\).
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