Question

$$\frac{ 5 \frac { 1 } { 3 } }{ 2 \frac { 1 } { 3 } } \times 0.75$$

Answer

1.875

Solution


Simplify  \(5(\frac{1}{3})\)  to  \((\frac{5}{3})\).
\[\frac{\frac{5}{3}}{2\times \frac{1}{3}}\times 0.75\]
Simplify  \(2\times \frac{1}{3}\)  to  \(\frac{2}{3}\).
\[\frac{\frac{5}{3}}{\frac{2}{3}}\times 0.75\]
Cancel denominators.
\[\frac{5}{2}\times 0.75\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{5\times 0.75}{2}\]
Simplify  \(5\times 0.75\)  to  \(3.75\).
\[\frac{3.75}{2}\]
Simplify.
\[1.875\]