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Dividing fractions calculator

Divide fractions or mixed numbers by multiplying by the reciprocal. Keep an exact reduced result and see the reciprocal and multiplication steps.

Calculator

Reduced fraction
5/6
Mixed number
5/6
Reciprocal of divisor
5/4
Division steps
StepExpression
Reverse divisor5/4
Multiply2/3 * 5/4
Reduce5/6

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How this calculator works

First turn mixed numbers into improper fractions. Division by a non-zero fraction multiplies by that fraction's reciprocal. The numerator and denominator are then reduced by their greatest common divisor. Exact integer arithmetic preserves the answer without decimal rounding. A zero dividend is valid; a zero divisor is not.

Formula

(a/b) / (c/d) = (a/b)(d/c) = ad/(bc), with b,d,c non-zero.

Worked example

(2/3)/(4/5) = (2/3)(5/4) = 10/12 = 5/6. Dividing -1 1/2 by 3/4 gives -2.

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Frequently asked questions

Which fraction do I flip?

Reverse only the divisor, the second value. Keep the dividend as entered.

Can I divide by a whole number?

Yes. A whole number k is the fraction k/1, so its reciprocal is 1/k when k is non-zero.

Can the answer be a whole number?

Yes. A reduced denominator of one is displayed as an integer, such as -2.

Sources

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