Practice Cancellation in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Cancellation is the process of removing a common factor from the numerator and denominator of a fraction, or from both sides of an equation, to simplify. It works because dividing both parts by the same nonzero number leaves 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
easySimplify \(\dfrac{4 \times 6}{4 \times 3}\) using cancellation.
Example 2
mediumSimplify the fraction \(\dfrac{18}{24}\) using cancellation (find the GCF first).
Example 3
easySimplify \(\dfrac{3 \times 5}{3 \times 7}\).
Example 4
mediumSimplify \(\dfrac{30}{42}\) completely.