Question

$$\frac{ 50 \times 44 \times 2 \times 10000 }{ \frac{ 22 }{ 7 } \times 49 \times 15 \times 1000 \times 100 }$$

Answer

4/21

Solution


Simplify  \(50\times 44\)  to  \(2200\).
\[\frac{2200\times 2\times 10000}{\frac{22}{7}\times 49\times 15\times 1000\times 100}\]
Simplify  \(2200\times 2\)  to  \(4400\).
\[\frac{4400\times 10000}{\frac{22}{7}\times 49\times 15\times 1000\times 100}\]
Simplify  \(4400\times 10000\)  to  \(44000000\).
\[\frac{44000000}{\frac{22}{7}\times 49\times 15\times 1000\times 100}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{44000000}{\frac{22\times 49\times 15\times 1000\times 100}{7}}\]
Simplify  \(22\times 49\)  to  \(1078\).
\[\frac{44000000}{\frac{1078\times 15\times 1000\times 100}{7}}\]
Simplify  \(1078\times 15\)  to  \(16170\).
\[\frac{44000000}{\frac{16170\times 1000\times 100}{7}}\]
Simplify  \(16170\times 1000\)  to  \(16170000\).
\[\frac{44000000}{\frac{16170000\times 100}{7}}\]
Simplify  \(16170000\times 100\)  to  \(1617000000\).
\[\frac{44000000}{\frac{1617000000}{7}}\]
Simplify  \(\frac{1617000000}{7}\)  to  \(231000000\).
\[\frac{44000000}{231000000}\]
Simplify.
\[\frac{4}{21}\]

Decimal Form: 0.190476