# ACT Math : How to find a fraction from a percentage

## Example Questions

### Example Question #1 : Percentage

We asked 1000 people their preferences of movie genres. 7.5% of those asked preferred horror movies, 35% preferred romantic films, 20% preferred dramas and 37.5% preferred comedies. How many people liked horror films?

37.5

750

35

75

7.5

75

Explanation:

People who prefer horror films = 1000 people x 7.5% = 1000 x 0.075 = 75 people

### Example Question #1 : Percentage

There are 20 students in a class. 35 percent of the students in the class are boys. What fraction of the class is girls?

Explanation:

There are 20 total students in the class. 35% of 20 is 7. There are 7 boys in the class.

girls in the class.

### Example Question #1 : How To Find A Fraction From A Percentage

Which of the following represents  as a fraction?

Explanation:

To represent a percentage as a fraction, keep the percentage in the numerator and put  in the denominator.

Therefore:

### Example Question #4 : Percentage

Which of the following fractions is equivalent to

Explanation:

To convert an integer percentage into an improper fraction, set the percentage as a fraction over  and simplify as far as you can. At that point, simply convert the improper fraction into a mixed fraction.

### Example Question #5 : Percentage

A politician promises to spend up to  of his budget on improving roads. Which of the following is closest to the fraction of their budget the politician must devote to road improvement?

Explanation:

To convert a decimal percentage into a fraction, first convert it to a decimal:

Now, set ths as a fraction with  as the denominator (expanding to as many significant digits as you need to line the fraction up):

### Example Question #1 : How To Find A Fraction From A Percentage

Convert to a fraction:

Explanation:

To convert a percentage to a fraction, divide the percentage by 100, then simplify. The presence of a variable does not significantly affect this process.