Solving linear equations involving fractions (AQA GCSE Further Maths): Quizzes

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Solving linear equations involving fractions
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What is the most effective strategy for solving linear equations that contain fractions?

Eliminate the fractions entirely

What key technique eliminates fractions from a linear equation?

Finding the LCM of denominators

After finding the LCM of denominators, what should you multiply by it?

Every term in the equation

When multiplying a fraction by a whole number, which part of the fraction gets multiplied?

Only the numerator

Why do we multiply by the LCM rather than any other number?

It cancels denominators completely

What is the first step when solving linear equations with fractions?

Identify the denominators

How should you check your answer after solving the equation?

Substitute back into original equation

In the example x+26=x62\frac{x + 2}{6} = \frac{x - 6}{2}, what is the LCM of the denominators?

6

What type of equation results after multiplying through by the LCM?

A simpler linear equation

What does multiplying by the LCM leave you with instead of fractions?

Whole number coefficients

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