# Division of Complex Fractions

Are you finding the division of complex fractions hard to solve in Mathematical questions?

In this lesson,

You will see and learn the step-by-step method for the division of complex fractions.

#### ALSO SEE: How To Solve The Division of Simple Fractions

Take note.

A link for you to practice past exam questions on fraction is included at the end of this lesson.

## What are complex fractions?

These are fractions in which the numerator or denominator contain another fraction.

EXAMPLE:

\dfrac{\frac{1}{6}}{2\frac{1}{3}}

## Question on division of complex fraction

Let’s take the example.

Simplify  \dfrac{\frac{1}{6}}{2\frac{1}{3}}

### 1. Replace the dash between the two fractions with a division sign

\dfrac{\frac{1}{6}}{2\frac{1}{3}}

becomes

\frac{1}{6} ÷ 2\frac{1}{3}

### 2. Convert any mixed fraction to improper fraction

2\frac{1}{3}

becomes

\dfrac{7}{3}
• See How To Convert Mixed Fraction To Improper Fraction

### 3. Replace the mixed fraction in the question

Simplify \dfrac{1}{6} ÷ \dfrac{7}{3}

### 4. Flip the fraction on the right upside down

The numerator becomes the denominator and the denominator becomes the numerator.

\dfrac{1}{6} ÷ \dfrac{3}{7}

### 5. Change the division sign to multiplication

\dfrac{1}{6} × \dfrac{3}{7}

### 6. Multiply the fractions

• Numerator multiply numerator
\frac{3}{6×7}
• Denominator multiply denominator
\frac{3}{42}

### 7. Reduce to its lowest form

\dfrac{3}{42}

becomes

\dfrac{1}{14}
• See How To Reduce Any Fraction To Its Lowest Form

## Test yourself

Click on the link below to practice past exam questions on fraction now.

GOOD LUCK.

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