Question

$$28/10/(4)-1/7/24$$

Answer

583/840

Solution


Simplify  \(\frac{28}{10}\)  to  \(\frac{14}{5}\).
\[\frac{\frac{14}{5}}{4}+\frac{-\frac{1}{7}}{24}\]
Simplify  \(\frac{\frac{14}{5}}{4}\)  to  \(\frac{14}{5\times 4}\).
\[\frac{14}{5\times 4}+\frac{-\frac{1}{7}}{24}\]
Simplify  \(5\times 4\)  to  \(20\).
\[\frac{14}{20}+\frac{-\frac{1}{7}}{24}\]
Simplify  \(\frac{14}{20}\)  to  \(\frac{7}{10}\).
\[\frac{7}{10}+\frac{-\frac{1}{7}}{24}\]
Move the negative sign to the left.
\[\frac{7}{10}-\frac{\frac{1}{7}}{24}\]
Simplify  \(\frac{\frac{1}{7}}{24}\)  to  \(\frac{1}{7\times 24}\).
\[\frac{7}{10}-\frac{1}{7\times 24}\]
Simplify  \(7\times 24\)  to  \(168\).
\[\frac{7}{10}-\frac{1}{168}\]
Simplify.
\[\frac{583}{840}\]

Decimal Form: 0.694048