Select the correct answerThe ratio of 21.5: 20.5 is same as?Options2:16: 13:23:1

Step-by-Step Solution

1. Break Down the Problem

   We need to simplify the ratio 21.5:20.5 and compare it with the provided options.

2. Relevant Concepts

   The ratio can be simplified by dividing both parts by the same number. We can divide both terms by 1 to simplify into a usable form.

3. Analysis and Detail

   To find a simpler form of the ratio, calculate: $\frac{21.5}{20.5}$

   Dividing both sides:

   • Convert each part to a fraction: $= \frac{21.5 \div 20.5}{20.5 \div 20.5} = \frac{21.5}{20.5}$ This can be approximated to: $\frac{21.5}{20.5} \approx 1.04878$ This is roughly equivalent to the decimal value of around 1.05.

4. Verify and Summarize

   Now, we compare this ratio with the given options:

   • Convert each option to decimal form:
     • $2:16 \Rightarrow \frac{2}{16} = 0.125$
     • $13:23 \Rightarrow \frac{13}{23} \approx 0.565$
     • $1:1 \Rightarrow 1$

   Finding equivalent ratios: None of the options directly match 1.05, but the value is quite close to $\frac{13}{23}$ which is another fractional representation, although it yields approximately $0.565$, which is not a match. Therefore, the options may not yield an exact ratio equivalent.

Final Answer

The given options do not precisely correspond to the ratio of 21.5:20.5. Based on decimal representation, none of the provided options are correct. The ratio approximates more closely to a value not present in the options.