# Do \frac{9}{24} and \frac{15}{40} form a proportion?

Do $\frac{9}{24}$ and $\frac{15}{40}$ form a proportion?
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Micah May
Step 1
A proportion is an equality of 2 fractions, so to check if 2 fractions form a proportion you have to check if they are equal.
$L=\frac{9}{24}=\frac{3}{8}$
$R=\frac{15}{40}=\frac{3}{8}$
Both sides are equal, so the fractions form a proportion.
$\frac{9}{24}=\frac{15}{40}$
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saennwegoyk
Step 1
This proportion is equal to 2 fractions, so to check if 2 fractions of a proportion are equal, you must check if they are equal.
$L=\frac{9}{24}$
Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 3 and then dividing both by 3
$\therefore \frac{9}{24}=\frac{9÷3}{24÷3}$
$\therefore \frac{9}{24}=\frac{3}{8}$
$R=\frac{15}{40}$
Lets reduce the fraction to simplest form by calculating HCF of numerator and denominator, which is 5 and then dividing both by 5
$\therefore \frac{15}{40}=\frac{15÷5}{40÷5}$
$\therefore \frac{15}{40}=\frac{3}{8}$
Both sides are equal, so the fractions form a proportion.
$\frac{9}{24}=\frac{15}{40}$