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Divide fractions instantly using the reciprocal method. Get step-by-step solutions, visual explanations, and handle mixed numbers with our comprehensive calculator.
To divide fractions, use the reciprocal method: multiply the first fraction by the reciprocal (flip) of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c).
The reciprocal method means 'flip and multiply.' To find the reciprocal of a fraction, switch the numerator and denominator. Then multiply instead of dividing.
First convert mixed numbers to improper fractions, then apply the reciprocal method. Finally, convert the result back to a mixed number if needed.
Dividing by a fraction is the same as multiplying by its reciprocal. This works because division asks 'how many groups of the divisor fit into the dividend,' which is equivalent to multiplying by the reciprocal.
Yes, the calculator handles negative fractions. The sign rules for division apply: positive ÷ positive = positive, negative ÷ negative = positive, positive ÷ negative = negative, negative ÷ positive = negative.