Fraction Equation Solver

All math tools

Solve linear equations containing fractions of the form (a/b)x + c = d.

Equation Constants

(1/2)x + 3 = 5

Numerator (a)

Denominator (b)

Constant (c)

Result (d)

Solution for x

x =

The value that satisfies the fraction equation

Decimal Value4.0000

StatusSolved

About this calculator

Solving Equations with Fractions

To solve an equation with fractions, you usually want to isolate the variable term first. Then, you can eliminate the fraction by multiplying both sides of the equation by the denominator. Alternatively, you can multiply every term in the entire equation by the Least Common Multiple (LCM) of all denominators to clear the fractions entirely.

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Pro Tips

Isolate x: Get the term with x by itself on one side by adding or subtracting the constant term.
Reciprocals: Multiplying by the reciprocal of a fraction coefficient (b/a) is an efficient way to solve for x.
Clear Denominators: Multiplying the whole equation by the denominator is often the safest first step.

Fun Facts

"Linear equations with one variable always have exactly one solution, unless the variable terms cancel out."
"Algebra allows us to work backwards from a result to find the original unknown value."
"The word 'Algebra' comes from the Arabic 'al-jabr', meaning 'the reunion of broken parts'."

Formula: (a/b)x + c = d => x = (d - c) * (b/a)