Divide one fraction by another and get the answer already reduced to lowest terms.

How to Use the Dividing Fractions Calculator

Enter both fractions' numerators and denominators; the result appears simplified automatically, with its decimal equivalent underneath.

Dividing by a fraction flips it and multiplies instead — "keep, change, flip." Keep the first fraction as it is, change the division sign to multiplication, and flip the second fraction upside down:

(a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d) / (b×c)

That flip isn't an arbitrary trick — it's the same question asked a different way. Dividing by 1/2 means asking "how many halves fit into this amount," and the answer is always double the original number, which is exactly what multiplying by 2 (the reciprocal of 1/2) gives you. 6 ÷ 1/2 = 12, because six whole units contain twelve halves.

1/2 ÷ 1/4 works the same way: how many quarters fit inside a half? Two. (1×4)/(2×1) confirms it — 4/2 simplifies to 2/1, or just 2.

This shows up constantly in recipe scaling and unit splitting — "how many 3/4-cup servings fit in 6 cups" is a division problem in disguise, and it resolves with the same flip-and-multiply mechanics either way.

A zero anywhere in a denominator, or a divisor fraction with a numerator of zero, breaks the arithmetic the same way any division by zero does — dividing by 1/2 is fine, dividing by 0/2 (which is just zero) isn't, so the calculator flags both.