Maths & numbers

Equivalent fraction at a target denominator calculator

Find the whole numerator that preserves a fraction at a specified denominator.

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Your result

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Behind the numbers

How this calculation works

Reduce the original fraction first to tell which target denominators are possible. Any multiple of its reduced denominator works.

THE FORMULANew numerator = old numerator × target denominator / old denominator

A worked example

3/4 = 15/20 because the target denominator is five times larger.

Good to know

Some denominators cannot represent the same fraction with an integer numerator.

Read the result

Find the whole numerator that preserves a fraction at a specified denominator.

The primary result is labeled “Equivalent fraction”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Some denominators cannot represent the same fraction with an integer numerator.

For a related exercise, try the fraction calculator.

A few questions, answered

How can I check the default inputs by hand?

3/4 = 15/20 because the target denominator is five times larger.

Which rule does this calculator apply?

New numerator = old numerator × target denominator / old denominator

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