Solve: (4/5 × 1/2) + 3/10 | Mixed Fraction Operations

The order of operations (PEMDAS) says multiplication comes before addition! Even with fractions, you must follow this rule. First multiply $\frac{4}{5} \times \frac{1}{2}$, then add the result to $\frac{3}{10}$.

Multiply straight across: numerator × numerator on top, denominator × denominator on bottom. So $\frac{4}{5} \times \frac{1}{2} = \frac{4 \times 1}{5 \times 2} = \frac{4}{10}$

You'd need to find a common denominator first! Luckily in this problem, $\frac{4}{10}$ and $\frac{3}{10}$ already have the same denominator (10), so you can add directly.

It's usually easier to wait until the end! In this case, $\frac{4}{10}$ could simplify to $\frac{2}{5}$, but since we're adding $\frac{3}{10}$ anyway, keeping $\frac{4}{10}$ makes the addition easier.

Work backwards or use a calculator! Convert each fraction to a decimal: $\frac{4}{5} = 0.8$, $\frac{1}{2} = 0.5$, $\frac{3}{10} = 0.3$. Then: 0.8 × 0.5 + 0.3 = 0.4 + 0.3 = 0.7 = $\frac{7}{10}$ ✓