Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
Question 1 Report
Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
Answer Details
To simplify the expression 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\), we first need to convert the mixed numbers to improper fractions.
10\(\frac{2}{5}\) can be written as \(\frac{52}{5}\) and 6\(\frac{2}{3}\) can be written as \(\frac{20}{3}\).
So, the expression becomes:
\begin{align*}
10\frac{2}{5} - 6 \frac{2}{3} + 3 &= \frac{52}{5} - \frac{20}{3} + 3\\
&= \frac{156}{15} - \frac{100}{15} + \frac{45}{15}\\
&= \frac{101}{15}
\end{align*}
Therefore, the simplified expression is 6\(\frac{11}{15}\).
Hence, the correct option is: \boxed{2. 6\frac{11}{15}}
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