Do 924 and 1540 form a proportion?

Question

Micah May · Accepted Answer

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}

saennwegoyk · Accepted Answer

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

∴ \frac{9}{24} = \frac{9 \div 3}{24 \div 3}

∴ \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

∴ \frac{15}{40} = \frac{15 \div 5}{40 \div 5}

∴ \frac{15}{40} = \frac{3}{8}

Both sides are equal, so the fractions form a proportion.

\frac{9}{24} = \frac{15}{40}

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