Practice Math Questions for Praxis: Converting between Fractions and Percent

When you confront a problem on the Praxis Core exam where you're converting a fraction to a percent (or vice versa), the important thing to remember is that "per cent" stands for "per 100."

In the following practice questions, you start by converting a percentage to a fraction and then simplify the result, and then you have to convert a mixed fraction to a percent.

Practice questions

1. Which of the following is 42 percent in simplest fraction form?

   

2. Which of the following is

   

   expressed as a percent?

   

Answers and explanations

1. The correct answer is Choice (C).
   First, write the percent as the fraction it represents. Remember that percent means "hundredths":

   

   Then simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

   

2. The correct answer is Choice (E).
   The first step is to write the mixed number as an improper fraction:

   

   The next step is to write the improper fraction as a decimal by dividing the numerator by the denominator:

   

   From decimal form, you can convert to percent form by moving the decimal two places to the right and putting a percent sign after the result. Remember that after the last nonzero digit after a decimal point, you can add as many zeros as you need to.