Answer:
\(-3\frac{2}{3}\) equivalent to \(-3-\frac{2}{3}\)
Step-by-step explanation:
Given: \(-3\frac{2}{3}\)
We need to choose equivalent to given expression.
First we simplify the given expression mixed number to fraction.
\(\Rightarrow -3\frac{2}{3}\)
\(\Rightarrow -\frac{3\cdot 3+2}{3}\)
\(\Rightarrow -\frac{9+2}{3}\)
\(\Rightarrow -\frac{11}{3}\)
Option 1: \(-3+\frac{2}{3}\)
\(\Rightarrow \dfrac{-9+2}{3}=-\dfrac{7}{3}
eq -\dfrac{11}{3}\)
False
Option 2: \(-3-\frac{2}{3}\)
\(\Rightarrow \dfrac{-9-2}{3}=-\dfrac{11}{3}= -\dfrac{11}{3}\)
True
Option 3: \(3-\frac{2}{3}\)
\(\Rightarrow \dfrac{9-2}{3}=\dfrac{7}{3}
eq -\dfrac{11}{3}\)
False
Option 4: \(3+\frac{2}{3}\)
\(\Rightarrow \dfrac{9+2}{3}=\dfrac{11}{3}
eq -\dfrac{11}{3}\)
False
Hence, \(-3\frac{2}{3}\) equivalent \(-3-\frac{2}{3}\)
