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. \(2\div3\approx0.6667\), so \(3\frac{2}{3}\approx3.6667\).
Then, convert \(3\frac{1}{4}\) to decimal. \(1\div4 = 0.25\), so \(3\frac{1}{4}=3.25\).

Step2: Compare all decimal values

We have the values: \(3.58\), \(3.09\), \(3.6667\), \(3.25\).
Comparing these decimals: \(3.09<3.25<3.58<3.6667\).

Answer:

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