Converting Fractions To Percent - Varsity Tutors

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Converting Fractions to Percent

Study Guide

Converting Fractions to Percent

To convert a fraction into a percent, divide the numerator by the denominator, then multiply the result by 100. For instance, to convert the fraction $\frac{1}{2}$ into a percent, divide 1 by 2 to get 0.5, then multiply by 100 to get 50%.

Important Notes

  • The word 'percent' means 'per 100'. So, when you convert a fraction to a percent, you're essentially expressing the fraction as a number out of 100.
  • The numerator of a fraction is the number on top, and the denominator is the number on the bottom.
  • Simplifying your fractions before converting them to percentages is helpful but not required.
  • When converting decimals to percentages, round to two decimal places unless otherwise indicated.

Mathematical Notation

$\frac{a}{b}$ represents a fraction where 'a' is the numerator and 'b' is the denominator.$a \times 100$ represents multiplication of 'a' by 100.Remember to use the correct notations when solving problems.

Why It Works

This method works because dividing the numerator by the denominator gives you a decimal that represents the fraction. Multiplying this decimal by 100 then gives you the equivalent percentage.

Remember

To convert a fraction to a percent, divide the numerator by the denominator and multiply the result by 100.

Quick Reference

Fraction to Percent:$\frac{a}{b} \times 100$

Understanding Converting Fractions to Percent

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Video explanation of this concept

concept. Use space or enter to play video.concept thumbnailBeginner

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Beginner Explanation

In simpler terms, a fraction is a part out of a whole. When we convert a fraction to a percent, we're changing the 'whole' to be 100.Now showing Beginner level explanation.

Practice Problems

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1

Quick Quiz

Single Choice QuizBeginner

What is the percentage equivalent of the fraction $\frac{3}{4}$?

A25%B50%C75%D100%Check AnswerPlease select an answer for all 1 questions before checking your answers. 1 question remaining.2

Real-World Problem

Question ExerciseIntermediate

Pizza Scenario

You ate $\frac{3}{8}$ of a pizza. What percent of the pizza did you eat?Show AnswerClick to reveal the detailed solution for this question exercise.3

Thinking Challenge

Thinking ExerciseIntermediate

Think About This

If a class has 25 students and $\frac{7}{25}$ of them are wearing glasses, what percent of the students are wearing glasses?

Show AnswerClick to reveal the detailed explanation for this thinking exercise.4

Challenge Quiz

Single Choice QuizAdvanced

What is the percentage equivalent of the fraction $\frac{11}{15}$?

A60%B65%C70%D73.33%Check AnswerPlease select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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