Question

Carlos sold 7/25

of the total pastries for a bake sale. Write this fraction as a decimal and a percent.

Answer 1

0.28 and 28%

Explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 7/25 is 25, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

`(100)/(25)`

Once we have that, we can multiply both the numerator and denominator by this multiple:

`(7*4)/(25*4) =(28)/(100)`

Now we can see that our fraction is 28/100, which means that 7/25 as a percentage is 28%.

A simpler way to do this is to find the decimal form of the fraction 7/25 which is 0.28 then multiply it by 100 leaving 28%.