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

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Solving linear equations involving fractions
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Best strategy for solving linear equations with fractions

Eliminate the fractions entirely

What does LCM stand for?

Least Common Multiple

Technique to eliminate fractions from equations

Find LCM of denominators, multiply every term by it

Part of fraction multiplied when multiplying by whole number

Only the numerator

Part of fraction unchanged when multiplying by whole number

The denominator

Why use LCM to clear fractions

Clears all fractions at once; denominators cancel completely

Definition: LCM of denominators

Smallest number all denominators divide into evenly

Method to verify answer in fraction equations

Substitute answer back into original equation

Which terms to multiply by LCM

Every single term, not just the fractions

Result after multiplying by LCM

Simpler linear equation with no fractions

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