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Converting Decimals to Fractions: Non-repeating

This interactive lesson helps you master the concept of converting non-repeating decimals into fractions! Let's dive in!

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Converting Decimals to Fractions: Non-repeating

Study Guide

Key Definition

A non-repeating decimal can be expressed as a fraction by placing the decimal number over a power of ten and reducing to the lowest terms.

Important Notes

A non-repeating decimal is a decimal that does not contain a repeating pattern.
Non-repeating decimals can be converted to fractions by using powers of ten.
Remember to reduce your fraction to its lowest terms after conversion.

Mathematical Notation

$\\frac{a}{b}$ represents a fraction with 'a' as the numerator and 'b' as the denominator

$\\frac{Decimal}{10^n}$ expresses a decimal over a power of ten before reduction

Remember to use proper notation when solving problems

Why It Works

This works because dividing by a power of ten shifts the decimal point, expressing the decimal as a fraction over 10^n. You can then reduce by dividing both numerator and denominator by their greatest common factor to obtain the simplest form.

Remember

Always reduce your fraction to its lowest terms after conversion.

Quick Reference

Conversion:$\\frac{Decimal}{10^n}$

Understanding Converting Decimals to Fractions: Non-repeating

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Watch & Learn

Video explanation of this concept

Beginner

Start here! Easy to understand

Beginner Explanation

Non-repeating decimals can be converted to fractions by expressing them over a power of ten.

Practice Problems

Test your understanding with practice problems

Quick Quiz

Single Choice Quiz

Beginner

Express the decimal 0.5 as a fraction.

Real-World Problem

Question Exercise

Intermediate

Candy Shop

You are at a candy shop and you want to buy 0.75 kg of candy. Express this weight as a fraction of a kilogram.

Thinking Challenge

Thinking Exercise

Intermediate

Think About This

Can you convert a repeating decimal into an exact fraction? Provide an example.

Challenge Quiz

Single Choice Quiz

Advanced

Express the decimal 0.125 as a fraction.

Recap

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Review key concepts and takeaways