Question

$$C=\frac{\frac{1}{2}+\frac{3}{4}}{2-\frac{1}{3}}$$

Answer

C=3/4

Solution


Simplify  \(\frac{1}{2}+\frac{3}{4}\)  to  \(\frac{5}{4}\).
\[C=\frac{\frac{5}{4}}{2-\frac{1}{3}}\]
Simplify  \(2-\frac{1}{3}\)  to  \(\frac{5}{3}\).
\[C=\frac{\frac{5}{4}}{\frac{5}{3}}\]
Invert and multiply.
\[C=\frac{5}{4}\times \frac{3}{5}\]
Cancel \(5\).
\[C=\frac{1}{4}\times 3\]
Simplify  \(\frac{1}{4}\times 3\)  to  \(\frac{3}{4}\).
\[C=\frac{3}{4}\]

Decimal Form: 0.75