Fundamentals of Fractions and Polygons

From the study guide

Course Outline

  1. Fraction equivalence
  2. Solving linear equations
  3. Reciprocal of a fraction
  4. Map scale conversions
  5. Exterior angles of polygons

1. Fraction equivalence

Key Concepts & Definitions

Equivalent fractions
AUTHOR (no date): Fractions that represent the same value when simplified. Two fractions are equivalent if, after reduction, they have the same numerator and denominator.

Simplifying fractions
AUTHOR (no date): The process of reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD).

Common denominator
AUTHOR (no date): A shared denominator used to compare or add fractions. It is typically found by finding a common multiple of the denominators.

Numerator
AUTHOR (no date): The top number in a fraction, indicating how many parts are being considered.

Denominator
AUTHOR (no date): The bottom number in a fraction, indicating the total number of equal parts the whole is divided into.

Essential Points

Two fractions are considered equivalent if they represent the same value when simplified. This means that, despite having different numerators and denominators, they are equal in size or amount once reduced to their simplest form.

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Practice quiz preview

1. At what stage in learning about fractions is the process of multiplying or dividing numerator and denominator by the same number usually introduced?

2. What is the total sum of the exterior angles of any polygon?

3. What does the reciprocal of a fraction mean?

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Flashcard preview

Fraction equivalence — definition?

Fractions representing the same value when simplified.

Solving linear equations — process?

Perform inverse operations to isolate the variable.

Reciprocal of a fraction — how?

Swap numerator and denominator.

Map scale conversions — purpose?

Convert map measurements to real distances.

Exterior angles — sum?

Always total 360 degrees.

Equivalent fractions — how to find?

Multiply or divide numerator and denominator by same number.

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Frequently asked questions

What does the Fundamentals of Fractions and Polygons study guide cover?

It covers the core concepts of Fundamentals of Fractions and Polygons, 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 Fundamentals of Fractions and Polygons quiz?

The practice quiz has 5 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.

Take the quiz (5 questions) →

How do I study Fundamentals of Fractions and Polygons with flashcards?

There are 10 flashcards on Fundamentals of Fractions and Polygons, 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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