Solve 5 + (4/7 ÷ 2): Complex Fraction Addition Problem

A complex fraction has fractions in the numerator, denominator, or both! In this problem, $\frac{\frac{4}{7}}{2}$ has a fraction in the numerator and a whole number in the denominator.

Because division by a number is the same as multiplication by its reciprocal! So $\frac{4}{7} ÷ 2 = \frac{4}{7} × \frac{1}{2}$. This makes the calculation much easier.

Look at your answer choices! If they're given as mixed numbers like $6\frac{2}{7}$, convert your improper fraction. If they're improper fractions, leave your answer as an improper fraction.

Yes, and you should! In $\frac{4}{7} × \frac{1}{2}$, you can reduce 4 and 2 by their common factor of 2 to get $\frac{2}{7} × \frac{1}{1} = \frac{2}{7}$.

Follow PEMDAS! First simplify the complex fraction (division), then add to 5. So: $5 + \frac{4}{7} ÷ 2 = 5 + \frac{2}{7} = 6\frac{2}{7}$.