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Dividing Fractions Calculator

Dividing Fractions Calculator

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Calculator Scope
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This calculator multiplies the first fraction by the reciprocal of the second, then simplifies, e.g. 1/2 ÷ 1/4 = 2/1 = 2.

Dividing by a fraction feels counterintuitive at first, since the trick is to flip the second fraction and multiply instead of dividing directly. Enter two fractions here — the first divided by the second — and this calculator applies that reciprocal rule automatically, simplifying the result to its lowest terms. Dividing by a fraction smaller than 1 always makes the result bigger, which can seem surprising until you see the mechanics laid out step by step.

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  • How division works: flip (take the reciprocal of) the second fraction, then multiply — so a/b ÷ c/d becomes a/b × d/c.
  • Dividing by a fraction smaller than 1 makes the result bigger, e.g. dividing by 1/4 is the same as multiplying by 4.
  • Dividing by zero is undefined: if the second fraction's numerator is 0, no result exists, and the calculator flags this instead of returning a number.

How do I divide two fractions?

Keep the first fraction, flip the second fraction (swap its numerator and denominator), and multiply the two fractions together.

What is 1/2 ÷ 1/4?

1/2 ÷ 1/4 = 1/2 × 4/1 = 4/2 = 2.