Fractions In Simplest Form - Varsity Tutors

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Fractions in Simplest Form

Study Guide

Key Definition

A fraction in simplest form has a numerator and denominator that are relatively prime, meaning the only common factor is 1.

Important Notes

• •To simplify a fraction, divide the numerator and denominator by their greatest common factor.
• •A fraction is in simplest form if it cannot be reduced further.
• •Use prime factorization to find the greatest common factor.
• •Simplifying fractions makes them easier to understand and work with.
• •Always check your work to ensure the fraction is fully simplified.

Mathematical Notation

$\frac{a}{b}$ is a fraction$a \div b$ represents division$\gcd(a, b)$ means greatest common divisorRemember to use proper notation when solving problems

Why It Works

Simplifying fractions using the greatest common factor ensures that we find the most reduced form of the fraction, making calculations easier.

Remember

The greatest common factor is the largest number that divides both the numerator and denominator without a remainder.

Quick Reference

Simplifying Example:$\frac{6}{9} = \frac{2}{3}$

Understanding Fractions in Simplest Form

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Video explanation of this concept

concept. Use space or enter to play video.Beginner

Start here! Easy to understand

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Beginner Explanation

A fraction is simplified by dividing the numerator and denominator by their greatest common factor.Now showing Beginner level explanation.

Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice QuizBeginner

What is the simplest form of $\frac{8}{12}$?

A$\frac{2}{3}$B$\frac{4}{6}$C$\frac{1}{2}$D$\frac{3}{4}$Check AnswerPlease select an answer for all 1 questions before checking your answers. 1 question remaining.2

Real-World Problem

Question ExerciseIntermediate

Teenager Scenario

You have a pizza cut into 12 slices, and you ate 4. What fraction of the pizza did you eat in simplest form?Show AnswerClick to reveal the detailed solution for this question exercise.3

Thinking Challenge

Thinking ExerciseIntermediate

Think About This

If you have a fraction $\frac{18}{24}$, think about the steps to simplify it.

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

Challenge Quiz

Single Choice QuizAdvanced

Which fraction is already in simplest form?

A$\frac{3}{5}$B$\frac{9}{15}$C$\frac{10}{20}$D$\frac{14}{28}$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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