Multiplying Fractions
So far so good
You may have worked your way up from multiplying unit fractions to multiplying a range of other fractions. Now that you've seen why the multiplication of fractions works the way it does, you're ready to go ahead and solve them by using the rule for multiplying fractions:
| Fraction 1 | x | Fraction 2 |
|
||
|---|---|---|---|---|---|
| $\frac{a}{x}$ax | x | $\frac{b}{y}$by |
= |
a * b x * y |
|
| Example: | $\frac{2}{3}$23 | x | $\frac{4}{5}$45 |
= |
2 x 4 3 x 5
|
Let's see how we can solve some of these and how we can simplify our fractions.
You can simplify at the start, along the way, or at the end. Whichever you find easier is usually the best way.
Worked Examples
QUESTION 1
Evaluate $\frac{6}{7}\times\frac{3}{11}$67×311.
QUESTION 2
Evaluate $\frac{1}{5}\times\frac{4}{12}$15×412.
QUESTION 3
What is $\frac{2}{3}$23 of $5$5?
If you need to multiply more than two fractions together, you can! You follow the same process, but you multiply as many numerators and denominators as you have.