Converting Fractions To Decimals - Varsity Tutors

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Converting Fractions to Decimals

Study Guide

Key Definition

A decimal representation of a fraction can be terminating or repeating. A fraction in lowest terms will terminate exactly when its denominator has no prime factors other than 2 or 5; otherwise, its decimal expansion repeats.

Important Notes

  • The numerator is divided by the denominator.
  • Repeating decimals can be written with a bar over the repeating part.

Mathematical Notation

$\frac{a}{b}$ means 'a divided by b'Remember to use proper notation when solving problems

Why It Works

By dividing the numerator by the denominator, we are essentially finding how many times the denominator fits into the numerator. This value is expressed as a decimal.

Remember

A decimal is just a special way of writing a fraction.

Quick Reference

Fraction to Decimal:$\frac{1}{5} = 0.2$

Understanding Converting Fractions to Decimals

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Video explanation of this concept

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

Start here! Easy to understand

BeginnerIntermediateAdvanced

Beginner Explanation

When you divide the numerator by the denominator, you get a decimal.Now showing Beginner level explanation.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice QuizBeginner

What is $\frac{3}{15}$ as a decimal?

A$0.2$B$0.3$C$0.5$D$1.5$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 and your 4 friends ordered a pizza. The pizza was cut into 10 equal slices. If you each ate an equal amount, how much did you each eat in decimal form?Show AnswerClick to reveal the detailed solution for this question exercise.3

Thinking Challenge

Thinking ExerciseIntermediate

Think About This

What is $\frac{5}{6}$ as a decimal?

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

Challenge Quiz

Single Choice QuizAdvanced

What is $\frac{7}{8}$ as a decimal?

A$0.875$B$0.777$C$0.888$D$0.999$Check AnswerPlease select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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Review key concepts and takeaways

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