Question

Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20

Answer 1

Answer: see pic below

Step-by-step explanation:

Answer 2

Answer:

$\frac{25}{10} = \frac{5}{2}$ is in proportion.

$\frac{3}{4} = \frac{8}{10}$ is not in proportion.

$\frac{2}{8} = \frac{3}{12}$ is in proportion.

$\frac{3}{4} = \frac{15}{20}$ is in proportion.

Step-by-step explanation:

The first example is $\frac{25}{10} = \frac{5}{2}$ and it is in proportion.

This is because, you will get the same simplest fraction ($\frac{5}{2}$) from the fraction $\frac{25}{10}$ by dividing its numerator and denominator by 5.

The second example is $\frac{3}{4} = \frac{8}{10}$ and it is not in proportion.

This is because, you can not  get the simplest fraction ($\frac{3}{4}$) from the fraction $\frac{8}{10}$ after simplification.

The third example is $\frac{2}{8} = \frac{3}{12}$ and it is in proportion.

This is because, you will get the same simplest fraction ($\frac{1}{4}$) from the fraction $\frac{2}{8}$ by dividing its numerator and denominator by 2 and from the fraction $\frac{3}{12}$ by dividing its numerator and denominator by 3.

The fourth example is $\frac{3}{4} = \frac{15}{20}$ and it is in proportion.

This is because, you will get the same simplest fraction ($\frac{3}{4}$) from the fraction $\frac{15}{20}$ by dividing its numerator and denominator by 5. (Answer)