Colleen compared the ratios 3:8 and One-half. Her work is shown below.

Question

Write the ratios as fractions: Three-eighths and One-half
The common denominator is 8.
Write each fraction using the common denominator: Three-eighths and One-eighth
Compare the numerators: 3 > 1
Write the correct statement: Three-eighths > One-half

Where did Colleen make her first mistake?
The common denominator should be 4 rather than 8.
The numerators are compared incorrectly.
The fraction One-half should have been rewritten as StartFraction 6 Over 8 EndFraction.
The fraction One-half should have been rewritten as StartFraction 4 Over 8 EndFraction.

Answer 1

Colleen made her first mistake in the step where she rewrote One-half.

One-half should have been rewritten as \( \frac{4}{8} \) when using a common denominator of 8, not \( \frac{1}{8} \).

So, the correct statement is: The fraction One-half should have been rewritten as StartFraction 4 Over 8 EndFraction.