What you need to know

Things to remember:

  • To multiply fractions, multiply the numerators together and the denominators together.

To multiply two factions together, all we need to do is multiply the tops and the bottoms.

What is \dfrac{3}{4}\times\dfrac{6}{8}?

 

Step 1: Multiply the numerators (the top numbers)

3\times6=18

Step 2: Multiply the denominators (the bottom numbers)

4\times8=32

Step 3: Make a fraction with the number from Step 1 on top and Step 2 on the bottom.

\frac{Step\hspace{0.5em}1}{Step\hspace{0.5em}2}=\frac{18}{32}

Step 4: See if you can simplify.

This one does simplify if you divide by 2.

 

\frac{18}{32}=\frac{18\div2}{32\div2}=\frac{9}{16}

\frac{3}{4}\times\frac{6}{8}=\frac{9}{16}

 

With practice, you’ll be able to do this in one line.

What is \dfrac{7}{5}\times\dfrac{2}{9}?

\frac{7}{5}\times\frac{2}{9}=\frac{7\times2}{5\times9}=\frac{14}{45}

Example Questions

Question 1: What is \dfrac{4}{9}\times\dfrac{5}{6}?

Answer

Step 1: Multiply the numerators (the top numbers)

 

4\times5=20

 

Step 2: Multiply the denominators (the bottom numbers)

 

6\times9=54

 

Step 3: Make a fraction with the number from Step 1 on top and Step 2 on the bottom.

 

\frac{Step\hspace{0.5em}1}{Step\hspace{0.5em}2}=\frac{20}{54}

 

Step 4: See if you can simplify.

 

This one does simplify if you divide by 2.

\frac{20}{54}=\frac{20\div2}{54\div2}=\frac{10}{27}

\frac{4}{9}\times\frac{5}{6}=\frac{10}{27}

Question 2: What is \dfrac{8}{3}\times\dfrac{6}{5}?

Answer

\frac{8}{3}\times\frac{6}{5}= \frac{8\times6}{3\times5}=\frac{48}{15}=\frac{48\div3}{15\div3}=\frac{16}{5}