A fraction is defined by the ratio of two numbers and is represented in the form of $\frac{a}{b}$, where variable 'a' denotes the value known as **numerator** and variable 'b' denotes the value known as **denominator. **Here b must **not** be equal to zero.

Thus, the fractions are classified as

- Proper Fraction
- Improper Fraction
- Complex Fraction
- Mixed Fraction

Complex Fractions:

Complex fraction is a fraction in which that either numerator or denominator or both contain fractions. This is also referred as rational expression.

- $\frac{\frac{2}{5}-7}{\frac{6}{11}+1}$

- $\frac{x^{2}+\frac{1}{2}}{\frac{x}{y}}$

Step 1:

Step 2:

Step 3:

$\frac{\frac{1}{2}-\frac{1}{3}}{1-\frac{1}{12}}$

Solution:

$\frac{\frac{1}{2}-\frac{1}{3}}{1-\frac{1}{12}}$

Step 1:

$\frac{1}{2}-\frac{1}{3}$

= $\frac{1}{6}$

Step 2:

$1-$$\frac{1}{12}$

= $\frac{11}{12}$

Step 3:

$\frac{\frac{1}{6}}{\frac{11}{12}}$

= $\frac{1}{6}\times \frac{12}{11}$

= $\frac{2}{11}$

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