Question

$$5 \frac{ 5 }{ 12 } \times 1 \frac{ 5 }{ 13 }$$

Answer

125/156

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{5\times 5\times 1\times 5}{12\times 13}\]
Simplify  \(5\times 5\)  to  \(25\).
\[\frac{25\times 1\times 5}{12\times 13}\]
Simplify  \(25\times 1\)  to  \(25\).
\[\frac{25\times 5}{12\times 13}\]
Simplify  \(25\times 5\)  to  \(125\).
\[\frac{125}{12\times 13}\]
Simplify  \(12\times 13\)  to  \(156\).
\[\frac{125}{156}\]

Decimal Form: 0.801282