Visualizing the Improper Fraction 10/8: Choose the Correct Diagram

Choose the option that visually represents the following fraction:

$\frac{10}{8}$

To solve this problem, we need to visually identify the fraction $\frac{10}{8}$.

• Step 1: Simplify $\frac{10}{8}$. Since the greatest common divisor of 10 and 8 is 2, simplifying gives: $\frac{10}{8} = \frac{10 \div 2}{8 \div 2} = \frac{5}{4}$
• Step 2: Convert $\frac{5}{4}$ to a mixed number: Divide 5 by 4, which gives 1 whole and a remainder of 1, so: $\frac{5}{4} = 1 \frac{1}{4}$
• Step 3: Find the visual representation that shows 1 whole and $\frac{1}{4}$ of another. - Choice 4 shows two circles; the first is fully shaded (indicating 1 whole), and the second is $\frac{1}{4}$ shaded, visually representing $1 \frac{1}{4}$.

Therefore, the visual representation for the fraction $\frac{10}{8}$ is Choice 4, which matches the correct shading for $1 \frac{1}{4}$.