What is the formula for dividing fractions?

a/b ÷ c/d = a/b × d/c = (a×d) / (b×c). Dividing by a fraction is the same as multiplying by its reciprocal.

For example, what is 7/3 ÷ 5/4?

7/3 ÷ 5/4 = 7/3 × 4/5 = 28/15 = 1 13/15.

Negative results are handled correctly. For example, 2/3 ÷ (−5/4) = −8/15; improper negative fractions such as −7/6 convert to −1 1/6.

Divide Fractions Calculator (step-by-step · integer only)

\[ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{b \times c} \]

enter integers a, b, c, d – each step explained

fraction 1 \(\dfrac{a}{b}\) ÷ \(\dfrac{c}{d}\)

a (numerator 1)

b (denominator 1)

c (numerator 2)

d (denominator 2)

📋 stepwise solution

Step 1: Write the fractions

\[ \frac{a}{b} \div \frac{c}{d} \]

Step 2: Multiply the first fraction by the reciprocal of the second fraction

\[ \frac{a}{b} \times \frac{d}{c} \]

Step 3: Multiply numerators and denominators

\[ \frac{a \times d}{b \times c} \]

Step 4: Perform the multiplication

\[ \frac{?}{?} \]

Step 5: Simplify to lowest terms

\[ \frac{N}{D} \]

Step 6 (optional): the simplified result from step 5 is an improper fraction — convert it to a mixed number

\[ \frac{N}{D} = W\frac{R}{D} \]

✅ final result: \[ \text{—} \]

Enter integers in a, b, c, d (b ≠ 0, c ≠ 0, d ≠ 0). Fractions or decimals are not accepted.
Press divide & show steps – the six steps update with your numbers (step 6 only appears for improper fractions).
Step 1: original fractions. Step 2: take reciprocal of second fraction.
Step 3: multiply numerators and denominators. Step 4: compute the product.
Step 5: reduce to lowest terms using gcd. Step 6 (optional): convert to mixed number if improper.
Example: \(\frac{7}{3} \div \frac{5}{4} = \frac{7}{3} \times \frac{4}{5} = \frac{28}{15} = 1\frac{13}{15}\).
Negative results are handled correctly (e.g., \(\frac{2}{3} \div -\frac{5}{4} = -\frac{8}{15}\)).