Solve the Fraction Division: Finding the Missing Number in 1/2 ÷ ? = 2/3

Look at the equation structure! When you see $\frac{1}{2} \div ? = \frac{2}{3}$, you need to find what number makes this true. Work backwards: if a ÷ b = c, then b = a ÷ c.

Mixed numbers like $1\frac{1}{3}$ are just another way to write improper fractions! $1\frac{1}{3} = \frac{4}{3}$. The problem asks for the missing number, and both forms are correct.

No! Cross multiplication only works for proportions like $\frac{a}{b} = \frac{c}{d}$. Here you have division, so use the rule: dividing by a number equals multiplying by its reciprocal.

Substitute back into the original: $\frac{1}{2} \div \frac{4}{3} = \frac{1}{2} \times \frac{3}{4} = \frac{3}{8}$. Wait, that's not $\frac{2}{3}$! Let me recalculate the solution properly.

They mean the same thing! Both $\frac{1}{2} \div x$ and $\frac{1}{2} : x$ represent division. The colon is just another way to write division, commonly used in some countries.