Practice Math Questions for Praxis: Converting between Fractions and Percent

By Carla Kirkland, Chan Cleveland

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?

    PRAXIS_0601

  2. Which of the following is

    PRAXIS_0602

    expressed as a percent?

    PRAXIS_0603

Answers and explanations

  1. The correct answer is Choice (C).

    First, write the percent as the fraction it represents. Remember that percent means “hundredths”:

    PRAXIS_0604

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

    PRAXIS_0605

  2. The correct answer is Choice (E).

    The first step is to write the mixed number as an improper fraction:

    PRAXIS_0606

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

    PRAXIS_0607

    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.

    PRAXIS_0608