Adding Fractions: Calculate 2/8 + 1/4 in Assignment Progress

To solve this problem, we will add the fractions of the work Sarah completed in the first and second hours:

• Step 1: Identify the fractions: Sarah completed $\frac{2}{8}$ of the work in the first hour and $\frac{1}{4}$ of the work in the second hour.
• Step 2: Convert the fractions to have the same denominator. The denominators are 8 and 4, respectively. The least common denominator (LCD) of 8 and 4 is 8.
• Step 3: Convert $\frac{1}{4}$ to a fraction with a denominator of 8. Since $\frac{1}{4} = \frac{2}{8}$, we convert it as follows: $\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$
• Step 4: Add the fractions with the common denominator: $\frac{2}{8} + \frac{2}{8} = \frac{2 + 2}{8} = \frac{4}{8}$
• Step 5: Simplify the resulting fraction. Divide the numerator and the denominator by their greatest common divisor, which is 4: $\frac{4}{8} = \frac{4 \div 4}{8 \div 4} = \frac{1}{2}$

Therefore, Sarah completed $\frac{1}{2}$ of the assignment in total.