Question

Write the rate


as a unit rate.
A
2
B
12\frac{1}{2}
2
1
​

C
981\frac{98}{1}
1
98
​

D
198\frac{1}{98}
98
1
​

Answer 1

To convert each of the rates to unit rates, we need to express them in the form of "x per 1 unit."

Let's break down each option:

A. **2**
- This is already a simple quantity with no ratio. We can interpret this as 2 per 1, or simply 2.

B. **12 1/2**
- This can be converted to an improper fraction:
\[
12 \frac{1}{2} = \frac{25}{2}
\]
- As a unit rate, it would be \(\frac{25}{2}\) per 1, which is:
\[
12.5
\]

C. **981 98/1**
- This notation is not standard. Assuming this means \(981\) with a unit of \(98\):
- Thus, it’s \( \frac{981}{98} \) which can be calculated as:
\[
981 \div 98 = 10.0
\]

D. **198 1/98**
- Interpreting this as \(198\) with a unit of \(98\):
- Thus, it’s \( \frac{198}{98} \). Simplifying gives:
\[
198 \div 98 \approx 2.02
\]

In summary, the unit rates are:
- A: **2 per 1**
- B: **12.5 per 1**
- C: **10 per 1**
- D: **2.02 per 1**