Practice Math Questions for Praxis: Converting Fractions

By Carla Kirkland, Chan Cleveland

Sometimes it’s okay to be improper. Case in point: the Praxis Core exam, where you may be asked to convert fractions between their mixed, simple, and improper forms.

In the following practice questions, you start with a simplified form of a fraction and have to find the original, and then you start with a mixed fraction and have to find the equivalent improper fraction.

Practice questions

  1. The fraction 4/7 is the simplified form of which of the following fractions?


  2. Which of the following fractions is equal to


Answers and explanations

  1. The correct answer is Choice (C).

    You could simplify every choice until you find that one of them is equal to 4/7. However, there’s a quicker and easier method. Because this is a multiple-choice question, you can look for a fraction in which the numerator is a multiple of 4 and the denominator is a multiple of 7. When the numerator and denominator of 4/7 can be multiplied by the same number to get a fraction that is one of the choices, that choice is the correct answer. Because 4 can be multiplied by 7 to get 28 and 7 can be multiplied by 7 to get 49, the correct answer is


  2. The correct answer is Choice (C).

    To convert a mixed number to an improper fraction, multiply the denominator of the fraction by the whole number and then add the numerator to the result. Put the number you get over the denominator: