Question

Which diagram represents a fraction equivalent to 75%?

Answer 1

The figure is missing. So, the figure is attached below.

Answer:

Third figure with 15 boxes being filled out of 20 total boxes.

Step-by-step explanation:

Given:

A fraction equivalent to 75% from the given figures.

Now, let us check each option.

Option 1:

There are 20 boxes out of which 14 are filled. So, percentage of filled boxes is given as:

$\%=\frac{Filled\ boxes}{Total\ boxes}\times 100\\\%=\frac{14}{20}\times 100=\frac{1400}{20}=70\%\ne75\%$

Option 2:

There are 10 boxes out of which 8 are filled. So, percentage of filled boxes is given as:

$\%=\frac{Filled\ boxes}{Total\ boxes}\times 100\\\%=\frac{8}{10}\times 100=\frac{800}{10}=80\%\ne75\%$

Option 3:

There are 20 boxes out of which 15 are filled. So, percentage of filled boxes is given as:

$\%=\frac{Filled\ boxes}{Total\ boxes}\times 100\\\%=\frac{15}{20}\times 100=\frac{1500}{20}=75\%=75\%$

Option 4:

There are 10 boxes out of which 7 are filled. So, percentage of filled boxes is given as:

$\%=\frac{Filled\ boxes}{Total\ boxes}\times 100\\\%=\frac{7}{10}\times 100=\frac{700}{10}=70\%\ne75\%$

Among all the options, only the third option has answer as 75%. So, third option is the correct answer.