I am studying for GRE and One of the practice questions is a division. After converting my Mixed numeral I get $\frac{90}{72}$ now I just have to simplify.
What I understood is that you divide by Least common multiplier so I
$1.)$ Divide $\frac{90}{72}$ by $2$: And I got $\frac{45}{36}$
$2.)$ Divide $\frac{45}{36}$ by $3$: And I got $\frac{9}{12}$
$3.)$ and so on until I got to 3/4 which is the wrong answer
If in step $1$, I would have divide by $3$
$1.)$ Divide $\frac{90}{72}$ by $3$ and I got $\frac{10}{8}$ $2.)$ Divide $\frac{10}{8}$ by $2$ and I got \frac{5}{4} which is the right answer
What is the rule to simplify fractions?
You have $\frac{90}{72}$.Now,$\gcd(90,72)=18$.
So,dividing numerator and denominator by $18$ we get $\frac{5}{4}.$