Solve for: (8)/(9)/(10)/(3)

Expression: $\frac{ 8 }{ 9 }\div\frac{ 10 }{ 3 }$

To divide by a fraction, multiply by the reciprocal of that fraction

$\frac{ 8 }{ 9 } \times \frac{ 3 }{ 10 }$

Cancel out the greatest common factor $3$

$\frac{ 8 }{ 3 } \times \frac{ 1 }{ 10 }$

Cancel out the greatest common factor $2$

$\frac{ 4 }{ 3 } \times \frac{ 1 }{ 5 }$

Multiply the fractions

$\begin{align*}&\frac{ 4 }{ 15 } \\&0.2\overset{ \cdot }{ 6 } \end{align*}$