Last updated on Oct 23, 2026

Solving Linear Equations with Fractions (Leaving Cert Mathematics): Quizzes

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Solving Linear Equations with Fractions

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What does LCD stand for when solving equations with fractions?

Least Common Denominator

What is the LCD for denominators $3$ , $4$ , and $6$ ?

$12$

What should you multiply by to eliminate fractions in $\frac{2x}{3} - \frac{5}{4} = \frac{x}{6} + 1$ ?

$12$

After eliminating fractions in $\frac{2x}{3} - \frac{5}{4} = \frac{x}{6} + 1$ , what equation results?

$8x - 15 = 2x + 12$

What is $6x = 27$ simplified to when solving for $x$ ?

$x = \frac{9}{2}$

After collecting like-terms in example 1, what equation is obtained?

$6x = 27$

What should you multiply by to eliminate fractions in $\frac{3}{x} + 2 = \frac{5}{x} - 1$ ?

$x$

After eliminating fractions in $\frac{3}{x} + 2 = \frac{5}{x} - 1$ , what equation results?

$3 + 2x = 5 - x$

What is the solution for $x$ in $\frac{3}{x} + 2 = \frac{5}{x} - 1$ ?

$x = \frac{2}{3}$

After collecting like-terms in example 2, what equation is obtained?

$3x = 2$

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