Question

$$4 \frac{ 6 }{ 7 } \times 1 \frac{ 2 }{ 5 }$$

Answer

mixed(1,13/35)

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{4\times 6\times 1\times 2}{7\times 5}\]
Simplify  \(4\times 6\)  to  \(24\).
\[\frac{24\times 1\times 2}{7\times 5}\]
Simplify  \(24\times 1\)  to  \(24\).
\[\frac{24\times 2}{7\times 5}\]
Simplify  \(24\times 2\)  to  \(48\).
\[\frac{48}{7\times 5}\]
Simplify  \(7\times 5\)  to  \(35\).
\[\frac{48}{35}\]
Convert to mixed fraction.
\[1\frac{13}{35}\]

Decimal Form: 1.371429