How do you simplify #\frac { 3( x + 5) } { 5x ( x + 5) } \cdot \frac { 5} { 3( x - 3) }#?
1 Answer
Explanation:
Since this is all multiplication, you can multiply the numerators and denominators. You will realize that there are a lot of similar terms which you can "cancel." These will be highlighted in various colours.
To make this more clear, you can rearrange the expression so that the similar terms go on top of each other.
Divisibility rules tell us that
Therefore, the term
Note that we can also "cancel" or divide the two fives together. Remember that the division leaves the number
Through the distributive property,
Your final answer is