Question

$$\frac{2}{3}+\frac{1}{5}\times\frac{3}{6}-\frac{3}{6}$$

Answer

4/15

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{2}{3}+\frac{1\times 3}{5\times 6}-\frac{3}{6}\]
Simplify  \(1\times 3\)  to  \(3\).
\[\frac{2}{3}+\frac{3}{5\times 6}-\frac{3}{6}\]
Simplify  \(5\times 6\)  to  \(30\).
\[\frac{2}{3}+\frac{3}{30}-\frac{3}{6}\]
Simplify  \(\frac{3}{30}\)  to  \(\frac{1}{10}\).
\[\frac{2}{3}+\frac{1}{10}-\frac{3}{6}\]
Simplify  \(\frac{3}{6}\)  to  \(\frac{1}{2}\).
\[\frac{2}{3}+\frac{1}{10}-\frac{1}{2}\]
Simplify.
\[\frac{8}{30}\]
Simplify.
\[\frac{4}{15}\]

Decimal Form: 0.266667