Question

$$3(13+6 \times 7)/(11 \times 3)-(12-4 \times 2)$$

Answer

1

Solution


Simplify  \(6\times 7\)  to  \(42\).
\[3\times \frac{13+42}{11\times 3}-(12-4\times 2)\]
Simplify  \(13+42\)  to  \(55\).
\[3\times \frac{55}{11\times 3}-(12-4\times 2)\]
Simplify  \(11\times 3\)  to  \(33\).
\[3\times \frac{55}{33}-(12-4\times 2)\]
Simplify  \(4\times 2\)  to  \(8\).
\[3\times \frac{55}{33}-(12-8)\]
Simplify  \(12-8\)  to  \(4\).
\[3\times \frac{55}{33}-4\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{3\times 55}{33}-4\]
Simplify  \(3\times 55\)  to  \(165\).
\[\frac{165}{33}-4\]
Simplify  \(\frac{165}{33}\)  to  \(5\).
\[5-4\]
Simplify.
\[1\]