Generate equivalent fractions, simplify a fraction, and see multiple equivalent forms with steps.
Equivalent fractions are different fractions that represent the same value. For example, 1/2, 2/4, and 50/100 are all equivalent because they all equal 0.5. Learning how to generate equivalent fractions is important for comparing fractions, simplifying answers, solving word problems, and working with ratios and proportions.
The main rule is simple: if you multiply (or divide) the numerator and denominator by the same non-zero number, you get an equivalent fraction. That means a/b = (a×k)/(b×k) for any non-zero integer k. To simplify a fraction, you divide both parts by their greatest common divisor (GCD) to get the fraction in lowest terms.
Our Equivalent Fractions Calculator helps you do both tasks at once. Enter a numerator and denominator, and the calculator finds the GCD, shows the simplified fraction, and then generates a list of equivalent fractions by multiplying the simplified fraction by k/k for k = 1 up to your chosen limit. This makes it easy to create practice examples or quickly check if two fractions could be equivalent.
The calculator also displays the mixed-number form (when the fraction is improper) and a decimal approximation. This is helpful in real-life applications like measurements, recipes, and budgeting where decimals are often easier to interpret. By showing steps and multiple forms, the tool supports learning as well as quick verification.
Start with 3/4. The GCD of 3 and 4 is 1, so the simplified fraction is still 3/4. Equivalent fractions are found by multiplying numerator and denominator by the same number: k=2 gives 6/8, k=3 gives 9/12, k=4 gives 12/16, and so on. All of these fractions equal 0.75.