Question

$$\frac{(1.8+\frac{19}{20}):0,5}{\frac{7}{40}:0,35+\frac{7}{3}:\frac{217}{31}}$$

Answer

INF,UNDEF,106

Solution


Simplify  \(1.8+\frac{19}{20}\)  to  \(\frac{11}{4}\).
\[\frac{\frac{\frac{11}{4}}{0},5}{\frac{\frac{7}{40}}{0},35+\frac{\frac{7}{3}}{\frac{217}{31}}}\]
Simplify  \(\frac{\frac{11}{4}}{0}\)  to  \(\frac{11}{0}\).
\[\frac{\frac{11}{0},5}{\frac{\frac{7}{40}}{0},35+\frac{\frac{7}{3}}{\frac{217}{31}}}\]
Simplify  \(\frac{11}{0}\)  to  \(\infty \).
\[\frac{\infty ,5}{\frac{\frac{7}{40}}{0},35+\frac{\frac{7}{3}}{\frac{217}{31}}}\]
Simplify  \(\frac{217}{31}\)  to  \(7\).
\[\frac{\infty ,5}{\frac{\frac{7}{40}}{0},35+\frac{\frac{7}{3}}{7}}\]
Simplify  \(\frac{\frac{7}{40}}{0}\)  to  \(\frac{7}{0}\).
\[\frac{\infty ,5}{\frac{7}{0},35+\frac{\frac{7}{3}}{7}}\]
Simplify  \(\frac{7}{0}\)  to  \(\infty \).
\[\frac{\infty ,5}{\infty ,35+\frac{\frac{7}{3}}{7}}\]
Cancel \(7\).
\[\frac{\infty ,5}{\infty ,35+\frac{1}{3}}\]
Simplify  \(35+\frac{1}{3}\)  to  \(\frac{106}{3}\).
\[\frac{\infty ,5}{\infty ,\frac{106}{3}}\]
Invert and multiply.
\[\infty ,5\times \frac{3}{\infty },106\]
Simplify  \(5\times \frac{3}{\infty }\)  to  \(\varnothing \).
\[\infty ,\varnothing ,106\]