Practice Cancellation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The process of simplifying a fraction or expression by removing (dividing out) common factors that appear in both the numerator and denominator, leaving an equivalent but simpler form.

\frac{6}{8} = \frac{3}{4} because we can cancel the common factor 2 from top and bottom.

Example 1

easy
Simplify \(\dfrac{4 \times 6}{4 \times 3}\) using cancellation.

Example 2

medium
Simplify the fraction \(\dfrac{18}{24}\) using cancellation (find the GCF first).

Example 3

easy
Simplify \(\dfrac{3 \times 5}{3 \times 7}\).

Example 4

medium
Simplify \(\dfrac{30}{42}\) completely.