Solve the Fraction Division: 3/4 ÷ 1/6 Step-by-Step

Division means "how many times does the divisor fit into the dividend." When you have $\frac{3}{4} ÷ \frac{1}{6}$, you're asking how many one-sixths fit into three-fourths. Flipping the divisor (second fraction) gives you the multiplication that answers this question.

Both symbols mean division and work exactly the same way! The colon (:) is just another way to write division, commonly used in many countries. Whether you see ÷ or :, always use the reciprocal method.

Convert to a mixed number when your final answer is an improper fraction (numerator larger than denominator). Mixed numbers like $4\frac{1}{2}$ are easier to understand than $\frac{9}{2}$.

Yes! You can cross-cancel common factors before multiplying. For example, in $\frac{3}{4} × \frac{6}{1}$, you could cancel the 3 and 6 first, but it's often easier to multiply first and then simplify.

That's perfectly fine! Some fraction divisions result in whole numbers. For example, $\frac{1}{2} ÷ \frac{1}{4} = 2$. Always double-check by seeing if your answer makes sense.