Solve: 1/2 ÷ (1/2 - 1/4) Fraction Operation Challenge

Follow PEMDAS order of operations! Division comes before subtraction, so you must solve $\frac{1}{2} ÷ \frac{1}{2}$ first, then subtract $\frac{1}{4}$ from that result.

To divide fractions, multiply by the reciprocal! So $\frac{1}{2} ÷ \frac{1}{2}$ becomes $\frac{1}{2} \times \frac{2}{1} = \frac{2}{2} = 1$. Remember: flip and multiply!

The colon : means division in many countries! It's the same as the ÷ symbol or writing it as a fraction. So $\frac{1}{2} : \frac{1}{2}$ equals $\frac{1}{2} ÷ \frac{1}{2}$.

Convert 1 to fourths first! Since $1 = \frac{4}{4}$, then $\frac{4}{4} - \frac{1}{4} = \frac{3}{4}$. Always use common denominators when adding or subtracting fractions.

Yes, but be careful with order of operations! Many calculators follow PEMDAS automatically, but some don't. It's better to understand the steps so you can solve it by hand too.