Fraction Equation Solver
Solve for unknown values in fraction equations
Learning Tip: Start with simple equations like 1/2 = x/4 before trying more complex problems.
Solution Steps
Solution
How to Solve Fraction Equations
Cross-Multiplication
For proportions a/b = c/d, the cross-products are equal: a × d = b × c
a/b = c/d ⇒ a×d = b×c
Common Denominator
For addition/subtraction, find a common denominator first
a/b + c/d = (ad + bc)/bd
Common Fraction Equation Types
Simple Proportion
Solve for x in equations like: 2/3 = x/9
Solution: x = (2 × 9) / 3 = 6
Missing Numerator
Solve for x in equations like: x/5 = 3/10
Solution: x = (3 × 5) / 10 = 1.5
Missing Denominator
Solve for x in equations like: 4/x = 1/3
Solution: x = (4 × 3) / 1 = 12
Frequently Asked Questions
How do you solve for x in a fraction?
Use cross-multiplication for proportions (a/b = c/x ⇒ x = b×c/a) or find a common denominator for addition/subtraction problems.
What if my equation has mixed numbers?
Convert mixed numbers to improper fractions first. For example, 1 1/2 becomes 3/2 before solving.
How do I check if my solution is correct?
Plug your answer back into the original equation. Both sides should equal the same value when simplified.
Can this tool solve complex fraction equations?
This solver handles basic to intermediate fraction equations. For more complex equations with multiple operations, try solving one step at a time.
What if I get a decimal answer?
You can leave it as a decimal or convert it to a fraction. For example, 0.75 = 3/4.