Question

$$\frac{584}{286}\times\frac{480}{384}\times\frac{296}{468}$$

Answer

mixed(1,10279/16731)

Solution


Simplify  \(\frac{584}{286}\)  to  \(\frac{292}{143}\).
\[\frac{292}{143}\times \frac{480}{384}\times \frac{296}{468}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{292\times 480\times 296}{143\times 384\times 468}\]
Simplify  \(292\times 480\)  to  \(140160\).
\[\frac{140160\times 296}{143\times 384\times 468}\]
Simplify  \(140160\times 296\)  to  \(41487360\).
\[\frac{41487360}{143\times 384\times 468}\]
Simplify  \(143\times 384\)  to  \(54912\).
\[\frac{41487360}{54912\times 468}\]
Simplify  \(54912\times 468\)  to  \(25698816\).
\[\frac{41487360}{25698816}\]
Simplify.
\[\frac{27010}{16731}\]
Convert to mixed fraction.
\[1\frac{10279}{16731}\]

Decimal Form: 1.614369