Equations with Fractions Flashcards

GCSE Mathematics (Edexcel) 1MA1

Equation with fractions

An equation where one or more terms involve fractions.

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Terms in this set (10)

1

Equation with fractions

An equation where one or more terms involve fractions.

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Clearing fractions in an equation

Multiply through by the lowest common denominator (LCD) of all the fractions to eliminate the fractions.

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Lowest common denominator (LCD)

The smallest number that is a multiple of the denominators of all the fractions in the equation.

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Step 1 for solving equations with fractions

Identify the denominators of all the fractions in the equation.

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Step 2 for solving equations with fractions

Find the lowest common denominator (LCD) of the fractions.

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Step 3 for solving equations with fractions

Multiply every term in the equation by the LCD to eliminate the fractions.

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Step 4 for solving equations with fractions

Simplify the resulting equation and solve for the unknown variable.

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Example: Solve (x/3) + 2 = 5

Multiply through by 3 to get x + 6 = 15, then solve x = 9.

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Checking solutions to equations with fractions

Substitute the solution back into the original equation to ensure it satisfies the equation.

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Common mistake in equations with fractions

Forgetting to multiply every term in the equation by the LCD, including terms without fractions.

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