Question

question 3
choose the correct comparison for the numbers below.
0.46, 104%, \\(\frac{5}{14}\\)
\\(0.46 < \frac{5}{14} < 104%\\)
\\(104% > \frac{5}{14} > 0.46\\)
\\(104% > 0.46 > \frac{5}{14}\\)
\\(\frac{5}{14} > 104% > 0.46\\)

Explanation:

Step1: Convert all numbers to decimals

• Convert \(104\%\) to decimal: \(104\% = \frac{104}{100}=1.04\)
• Convert \(\frac{5}{14}\) to decimal: \(\frac{5}{14}\approx0.357\) (by dividing 5 by 14)
• The number \(0.46\) is already in decimal form.

Step2: Compare the decimal values

Now we have the three numbers in decimal form: \(0.46\), \(1.04\) (which is \(104\%\)), and approximately \(0.357\) (which is \(\frac{5}{14}\)).

Comparing these values: \(1.04>0.46 > 0.357\), which means \(104\%>0.46>\frac{5}{14}\)

Answer:

\(104\% > 0.46 > \frac{5}{14}\) (the third option: \(104\% > 0.46 > \frac{5}{14}\))