Question

which value represents the largest weight?
3.58 metric tons
3.09 metric tons
$3\frac{2}{3}$ metric tons
$3\frac{1}{4}$ metric tons

Explanation:

Step1: Convert mixed numbers to decimals

First, convert \(3\frac{2}{3}\) to decimal. \(3\frac{2}{3}=3 + \frac{2}{3}\approx3 + 0.6667 = 3.6667\) metric tons.
Then, convert \(3\frac{1}{4}\) to decimal. \(3\frac{1}{4}=3 + \frac{1}{4}=3 + 0.25 = 3.25\) metric tons.

Step2: Compare all decimal values

Now we have the values:

• \(3.58\) metric tons,
• \(3.09\) metric tons,
• \(3.6667\) metric tons (from \(3\frac{2}{3}\)),
• \(3.25\) metric tons (from \(3\frac{1}{4}\)).

Comparing these decimals: \(3.6667>3.58>3.25>3.09\).

Answer:

\(3\frac{2}{3}\) metric tons