Perform the division operation first, according to the order of operations (BODMAS/PEMDAS).
This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Step 1: Perform the division operation first, according to the order of operations (BODMAS/PEMDAS).
To divide by a fraction, multiply by its reciprocal.
$$\frac{1}{6} \div \frac{1}{3} = \frac{1}{6} \times \frac{3}{1}$$
Step 2: Multiply the fractions.
$$\frac{1 \times 3}{6 \times 1} = \frac{3}{6}$$
Simplify the fraction:
$$\frac{3}{6} = \frac{1}{2}$$
Step 3: Now, substitute this result back into the original expression.
$$\frac{2}{5} + \frac{1}{2}$$
Step 4: Add the fractions. To do this, find a common denominator. The least common multiple of 5 and 2 is 10.
Convert $\frac{2}{5}$ to an equivalent fraction with a denominator of 10:
$$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$$
Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 10:
$$\frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10}$$
Step 5: Add the fractions with the common denominator.
$$\frac{4}{10} + \frac{5}{10} = \frac{4+5}{10} = \frac{9}{10}$$
The simplified expression is $\boxed{\frac{9}{10}}$.
3 done, 2 left today. You're making progress.
