Step-by-Step Lesson

Learn: Fractions

iGCSE Mathematics

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Steps in this lesson (16)

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Welcome!Today, we'll explore fractions. You'll learn how to work with fractions, including simplifying, adding, subtracting, multiplying, and dividing them. Let's dive in!

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What are fractions?Fractions are a way to represent parts of a whole. They consist of two numbers: the numerator (the top number) and the denominator (the bottom number). For example, in the fraction 3⁄4, 3 is the numerator, and 4 is the denominator.

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Multiple ChoiceInteractive

Which of these represents a fraction?

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Simplifying FractionsTo simplify a fraction, divide the numerator and denominator by their highest common factor (HCF). For instance, to simplify 12⁄16, divide both numbers by their HCF (which is 4). The simplified fraction is 3⁄4.

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Math EquationInteractive

Match the items on the left with their correct pairs on the right

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Adding and Subtracting FractionsTo add or subtract fractions, the denominators must be the same. If they are different, find the lowest common denominator (LCD), then convert the fractions to equivalent fractions with the same denominator before adding or subtracting.

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Multiple ChoiceInteractive

What is the first step in adding fractions with different denominators?

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Multiplying FractionsTo multiply fractions, simply multiply the numerators together and the denominators together. For example, 2⁄3 × 4⁄5 = 8⁄15.

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Math EquationInteractive

Match the items on the left with their correct pairs on the right

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Dividing FractionsTo divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, 2⁄3 ÷ 4⁄5 is the same as 2⁄3 × 5⁄4 = 10⁄12, which simplifies to 5⁄6.

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Multi-SelectInteractive

Which of the following are correct steps to divide fractions? (Select all that apply)

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Review Time!Great work! You've learned about fractions, including simplifying, adding, subtracting, multiplying, and dividing. Now let's test your understanding with a few questions.

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Multiple ChoiceInteractive

What is the simplified form of 8⁄12?

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Math EquationInteractive

Match the items on the left with their correct pairs on the right

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Fill in the BlankInteractive

To divide fractions, find the {{blank0}} of the second fraction and then {{blank1}} the fractions.

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MatchingInteractive

Match the items on the left with their correct pairs on the right

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