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Equivalent fractions look different but represent the same value, like 1/2, 2/4 and 50/100. You make them by multiplying top and bottom by the same number, and simplify them by dividing by the GCF.
Reduce any fraction with the Fraction Simplifier.
What makes fractions equivalent
Two fractions are equivalent when they reduce to the same lowest-terms fraction. 2/4 and 3/6 both reduce to 1/2.
Creating equivalent fractions
Multiply numerator and denominator by the same non-zero number: 3/5 = (3×2)/(5×2) = 6/10 = (3×4)/(5×4) = 12/20.
Simplifying with the GCF
Divide top and bottom by their GCF. For 12/20, the GCF is 4, so 12/20 = 3/5 — the simplest equivalent fraction.
Checking if two fractions are equal
Cross-multiply: a/b = c/d when a×d = b×c. For 3/5 and 12/20, 3 × 20 = 60 = 5 × 12, so they are equivalent.
Why it matters
Equivalent fractions let you add and compare fractions over a common denominator — find that with the least common denominator (the LCM of the denominators).
Key takeaways
- Equivalent fractions share the same value.
- Multiply top and bottom to create them.
- Divide by the GCF to simplify.
- Cross-multiply to test equality.
Fraction Simplifier
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Open the Fraction SimplifierFrequently asked questions
What are equivalent fractions?
Fractions that represent the same value, such as 1/2, 2/4 and 50/100; they all reduce to the same lowest-terms fraction.
How do I simplify a fraction to lowest terms?
Divide the numerator and denominator by their greatest common factor (GCF).
How can I check if two fractions are equal?
Cross-multiply: a/b equals c/d exactly when a × d = b × c.
The LCM Calculator Team
Math educators and engineers building free, accurate calculators with step-by-step solutions, visual diagrams and AI insights.
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