Question

$$10 \frac{ 5 }{ 12 } /4 \frac{ 2 }{ 3 }$$

Answer

25/36

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{10\times 5\times 2}{12\times 4\times 3}\]
Simplify  \(10\times 5\)  to  \(50\).
\[\frac{50\times 2}{12\times 4\times 3}\]
Simplify  \(50\times 2\)  to  \(100\).
\[\frac{100}{12\times 4\times 3}\]
Simplify  \(12\times 4\)  to  \(48\).
\[\frac{100}{48\times 3}\]
Simplify  \(48\times 3\)  to  \(144\).
\[\frac{100}{144}\]
Simplify.
\[\frac{25}{36}\]

Decimal Form: 0.694444