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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