Question

problem solving 16 felicia drew the pictures at the right to show \\(\frac{3}{8}\\) is greater than \\(\frac{3}{4}\\). what was felicias mistake?

Explanation:

Step1: Find common denominator

The least common denominator of 8 and 4 is 8.

Step2: Rewrite fractions

$\frac{3}{4} = \frac{3\times2}{4\times2} = \frac{6}{8}$

Step3: Compare the fractions

$\frac{3}{8} < \frac{6}{8}$, so $\frac{3}{8} < \frac{3}{4}$. Felicia's mistake is claiming $\frac{3}{8}$ is greater than $\frac{3}{4}$; she likely misrepresented the fractions in her pictures, either using unequal whole units or incorrectly shading the parts.

Answer:

Felicia incorrectly claimed $\frac{3}{8}$ is greater than $\frac{3}{4}$. In reality, $\frac{3}{8} < \frac{3}{4}$ (since $\frac{3}{4} = \frac{6}{8}$ and $\frac{3}{8} < \frac{6}{8}$). Her pictures must have used non-equivalent whole models or incorrectly shaded the fractional parts to show the wrong relationship.