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 the fraction One-half.

The correct way to rewrite One-half using a common denominator of 8 is to multiply both the numerator and denominator by 4, resulting in \( \frac{4}{8} \).

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