Question

$$\frac{184}{236}\times\frac{196}{348}\times\frac{524}{364}$$

Answer

42182/66729

Solution


Simplify  \(\frac{184}{236}\)  to  \(\frac{46}{59}\).
\[\frac{46}{59}\times \frac{196}{348}\times \frac{524}{364}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{46\times 196\times 524}{59\times 348\times 364}\]
Simplify  \(46\times 196\)  to  \(9016\).
\[\frac{9016\times 524}{59\times 348\times 364}\]
Simplify  \(9016\times 524\)  to  \(4724384\).
\[\frac{4724384}{59\times 348\times 364}\]
Simplify  \(59\times 348\)  to  \(20532\).
\[\frac{4724384}{20532\times 364}\]
Simplify  \(20532\times 364\)  to  \(7473648\).
\[\frac{4724384}{7473648}\]
Simplify.
\[\frac{42182}{66729}\]

Decimal Form: 0.632139