MHB Simplifying Algebraic fraction

[Spencer23]

Hello,

Wondering how to simplify this fraction...

3/90 * (36x+54)

 

[anemone]

Hi Spencer23, welcome to MHB!:)

Can you be a little bit more clear about the math expression that you've there, do you mean

1. $\dfrac{3}{90(36x+54)}$ or

2. $\dfrac{3(36x+54)}{90}$?

 

[Spencer23]

Its neither of those, I've attatched a picture of a screenshot of the question I've been given. This is why I am having trouble with this one because it isn't in a format I've seen before when working with algebriac fractions.

 

[MarkFL]

The form in your attached image is equivalent to the second form given by anemone. This is because the following are equivalent:

$$\frac{a}{b}\cdot c=\frac{ac}{b}$$

For example, consider:

$$\frac{1}{2}\cdot4=\frac{1\cdot4}{2}=\frac{4}{2}=\frac{2\cdot\cancel{2}}{\cancel{2}}=2$$

Can you factor anything from the expression in parentheses?

 

[anemone]

Also, another example that might be helpful to be used as guidance would be the following:

$\dfrac{6+9}{12}$, it could be simplified further down by rewriting it as $\dfrac{2(3)+3(3)}{3(4)}=\dfrac{3(2+3)}{3(4)}=\dfrac{\cancel{3}(5)}{\cancel{3}(4)}=\dfrac{5}{4}$.

 

[Spencer23]

Thanks guys , didnt realize it was the same as the example you gave... understand how its done now! Thank you both!

 

[Jason85]

View attachment 2940