Solve the Fraction Division: 3/10 ÷ x = 1/2

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{3}{10} \div \frac{1}{2}$ becomes $\frac{3}{10} \times \frac{2}{1}$, which is much easier to calculate!

Look at the position of the blank. If it's $\frac{3}{10} \div \_ = \frac{1}{2}$, then you need to find what $\frac{3}{10}$ is divided by to get $\frac{1}{2}$.

Yes! Rewrite as $\frac{3}{10} \times \frac{1}{x} = \frac{1}{2}$, then cross-multiply: $3 \times 2 = 10 \times 1$, so $6 = 10x$ and $x = \frac{6}{10} = \frac{3}{5}$.

Simplifying makes your answer cleaner and easier to work with. $\frac{6}{10}$ and $\frac{3}{5}$ are equal, but simplified fractions are the preferred final form in mathematics.

Remember the relationship: if A ÷ B = C, then A = B × C and B = A ÷ C. Use this pattern to figure out what operation you need!