Question

put these numbers in order from least to greatest. \\(\frac{339}{4}\\) \\(84.34\\) \\(83\frac{1}{2}\\) \\(84.01\\)

Explanation:

Step1: Convert fractions to decimals

First, convert \(\frac{339}{4}\) to a decimal. Divide 339 by 4: \(339\div4 = 84.75\).
Then, convert \(83\frac{1}{2}\) to a decimal. \(\frac{1}{2}=0.5\), so \(83\frac{1}{2}=83 + 0.5=83.5\).

Step2: Compare the decimals

Now we have the numbers as decimals: \(83.5\) (from \(83\frac{1}{2}\)), \(84.01\), \(84.34\), and \(84.75\) (from \(\frac{339}{4}\)).
Comparing these decimals: \(83.5<84.01<84.34<84.75\).

Answer:

\(83\frac{1}{2}\), \(84.01\), \(84.34\), \(\frac{339}{4}\)