Solve Fraction Division: 3/7 ÷ 3/6 Step-by-Step

Dividing by a fraction is the same as multiplying by its reciprocal! Think of it like this: $\frac{3}{7} \div \frac{3}{6}$ asks "how many $\frac{3}{6}$ pieces fit in $\frac{3}{7}$?" Flipping and multiplying gives you that answer.

The reciprocal is just the fraction flipped upside down! For $\frac{3}{6}$, the reciprocal is $\frac{6}{3}$. The numerator becomes the denominator and vice versa.

Yes, always simplify! Look for common factors in the numerator and denominator. In this problem, both 18 and 21 are divisible by 3, so $\frac{18}{21} = \frac{6}{7}$.

Absolutely! You can cancel common factors before multiplying to make the math easier. In $\frac{3}{7} \times \frac{6}{3}$, notice the 3's cancel out, leaving $\frac{1}{7} \times \frac{6}{1} = \frac{6}{7}$.

Use this memory trick: "Keep, Change, Flip"

• Keep the first fraction the same
• Change division to multiplication
• Flip the second fraction upside down