Fractions and Their Operations

From the study guide

Course Outline

  1. Fraction Parts and Types
  2. Equivalent Fractions and Simplification
  3. Converting Fraction Forms
  4. Comparing and Ordering Fractions
  5. Adding and Subtracting Fractions
  6. Multiplying and Dividing Fractions
  7. Fraction Word Problems

1. Fraction Parts and Types

Key Concepts & Definitions

  • Fraction: A representation of a part of a whole divided into equal parts.
  • Unit fraction: A unit fraction has a numerator of one.

Essential Points

  • In a fraction, the numerator is the number above the fraction bar and the denominator is the number below it.

2. Equivalent Fractions and Simplification

Key Concepts & Definitions

  • Equivalent fractions: Equivalent fractions have different forms but represent the same value.

★ Must-know

  • A fraction is simplified by dividing its numerator and denominator by a common factor.

Further detail

  • A fraction is in simplest form when its numerator and denominator have no common factor other than one.

3. Converting Fraction Forms

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Practice quiz preview

1. A shape is divided into equal-sized regions, and some regions are shaded. What does the fraction describing the shaded part represent?

2. In the fraction 58\frac{5}{8}, which number is the denominator?

3. Two fractions have different numerators and denominators but represent the same quantity. What is their relationship?

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Flashcard preview

What does a fraction represent?

A part of a whole divided into equal parts.

Where is the numerator located in a fraction?

Above the fraction bar.

What do equivalent fractions represent despite having different forms?

The same value.

How is a fraction simplified?

Divide its numerator and denominator by a common factor.

How do you calculate the numerator when converting a mixed fraction to an improper fraction?

Multiply the whole-number part by the denominator, then add the numerator.

What denominator is used when converting a mixed fraction to an improper fraction?

The original denominator.

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Frequently asked questions

What does the Fractions and Their Operations study guide cover?

It covers the core concepts of Fractions and Their Operations, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.

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How many questions are in the Fractions and Their Operations quiz?

The practice quiz has 15 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

Take the quiz (15 questions) →

How do I study Fractions and Their Operations with flashcards?

There are 23 flashcards on Fractions and Their Operations, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.

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