Math Fractions Compound fraction

# Compound fraction

A compound fraction is a fraction that has at least one component of another fraction.

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### Note

The main fractional line replaces the divisional sign and should, therefore, be drawn longer than the other fractional lines.
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### Method

To resolve a compound fraction, you can simply replace the main fractional line with a divisor and then divide the fractions..

### Examples

• $\frac{\frac{2}{3}}{4}=\frac{2}{3}:4=\frac{2}{12}=\frac{1}{6}$

• $\frac{2}{\frac{3}{4}}=2:\frac{3}{4}=2\cdot\frac{4}{3}=\frac{8}{3}$

• $\frac{\frac{3}{2}}{\frac{1}{2}}=\frac{3}{2}:\frac{1}{2}=\frac{3}{2}\cdot2=3$