Question

which sign makes the statement true? 3.35? 3\frac{3}{5} > < =

Explanation:

Step1: Convert mixed number to decimal

To compare \(3.35\) and \(3\frac{3}{5}\), first convert the mixed number \(3\frac{3}{5}\) to a decimal. The fraction part \(\frac{3}{5}\) is equal to \(3\div5 = 0.6\). So \(3\frac{3}{5}=3 + 0.6=3.6\).

Step2: Compare the two decimals

Now we compare \(3.35\) and \(3.6\). Since \(3.35\) is less than \(3.6\), we use the less than sign (\(<\)).

Answer:

\(3.35\ <\ 3\frac{3}{5}\), so the sign is \(<\) (the option with \(<\) symbol).