Question

question 5
complete the comparison below.
\\(dfrac{16}{17}\\) \\(\\_\\_\\_\\_\\) 99.8%

Explanation:

Step1: Convert fraction to decimal

To compare \(\frac{16}{17}\) and \(99.8\%\), first convert \(\frac{16}{17}\) to a decimal. Divide 16 by 17: \(16\div17\approx0.9412\) (rounded to four decimal places).

Step2: Convert percentage to decimal

Convert \(99.8\%\) to a decimal by dividing by 100: \(99.8\% = 0.998\).

Step3: Compare the two decimals

Now compare \(0.9412\) and \(0.998\). Since \(0.9412<0.998\), we have \(\frac{16}{17}<99.8\%\).

Answer:

\(\boldsymbol{<}\) (corresponding to the option with the less - than symbol)