Question

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

Answer 1

Colleen's first mistake is in step 2 where she determined the common denominator

How to determine where Colleen make her first mistake?

To determine where Colleen made her first mistake, we follow the same steps as Colleen and we make comparison of the steps

So, we have:

Step 1: Write the ratios as fractions:

Colleen solution: 3/8 and 1/2

Our solution: 3/8 and 1/2

Step 2: Write each fraction using the common denominator:

Colleen solution:

• The common denominator is 8.
• 3/8 and 1/8

Our solution:

• The initial fractions do not have a common denominator
• 3/8 and 4/8

Notice that in step 2, we  have different solutions.

This means that Colleen's first mistake is determining the common denominator

Hence, Colleen's first mistake is in step 2 where she determined the common denominator

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Complete question

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

Write the ratios as fractions:

3/8 and 1/2

The common denominator is 8.

Write each fraction using the common denominator:

3/8 and 1/8

Compare the numerators:

3 > 1

Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?