Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
To solve the problem of rounding \(\frac{55}{99}\) to the nearest half, let's go through a detailed, step-by-step solution:
1. Compute the Fraction Value:
First, calculate the value of \(\frac{55}{99}\):
[tex]\[ \frac{55}{99} \approx 0.5556 \][/tex]
2. Understanding Rounding to the Nearest Half:
To round this value to the nearest half, we need to consider the nearest numbers that are multiples of \(0.5\). These numbers are \(0\), \(0.5\), \(1\), and \(1.5\).
3. Rounding Process:
- For values between \(0\) and \(0.25\), the nearest half is \(0\).
- For values between \(0.25\) and \(0.75\), the nearest half is \(0.5\).
- For values between \(0.75\) and \(1.25\), the nearest half is \(1\).
- For values between \(1.25\) and \(1.75\), the nearest half is \(1.5\).
Given our value \(0.5556\), it falls within the range \(0.25\) to \(0.75\).
4. Determine the Nearest Half:
Since \(0.5556\) is between \(0.25\) and \(0.75\), the nearest half is \(0.5\).
5. Compare with the Choices:
Let's compare this with the choices provided:
- \(0\) (A)
- \(\frac{1}{2}\) which is \(0.5\) (B)
- \(1\) (C)
- \(1 \frac{1}{2}\) which is \(1.5\) (D)
The value \(0.5\) matches choice \(B\).
6. Final Answer:
Therefore, the value \(\frac{55}{99}\) rounded to the nearest half is:
[tex]\[ \boxed{\frac{1}{2}} \][/tex]
1. Compute the Fraction Value:
First, calculate the value of \(\frac{55}{99}\):
[tex]\[ \frac{55}{99} \approx 0.5556 \][/tex]
2. Understanding Rounding to the Nearest Half:
To round this value to the nearest half, we need to consider the nearest numbers that are multiples of \(0.5\). These numbers are \(0\), \(0.5\), \(1\), and \(1.5\).
3. Rounding Process:
- For values between \(0\) and \(0.25\), the nearest half is \(0\).
- For values between \(0.25\) and \(0.75\), the nearest half is \(0.5\).
- For values between \(0.75\) and \(1.25\), the nearest half is \(1\).
- For values between \(1.25\) and \(1.75\), the nearest half is \(1.5\).
Given our value \(0.5556\), it falls within the range \(0.25\) to \(0.75\).
4. Determine the Nearest Half:
Since \(0.5556\) is between \(0.25\) and \(0.75\), the nearest half is \(0.5\).
5. Compare with the Choices:
Let's compare this with the choices provided:
- \(0\) (A)
- \(\frac{1}{2}\) which is \(0.5\) (B)
- \(1\) (C)
- \(1 \frac{1}{2}\) which is \(1.5\) (D)
The value \(0.5\) matches choice \(B\).
6. Final Answer:
Therefore, the value \(\frac{55}{99}\) rounded to the nearest half is:
[tex]\[ \boxed{\frac{1}{2}} \][/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.