Fraction Comparison: Identifying Parts Greater Than 1/9

Question

Choose the way in which the painted part is greater than 19 \frac{1}{9}

Video Solution

Step-by-Step Solution

Let's solve the problem by following these steps:

  • Step 1: Identify the total and painted sections in each illustration.
  • Step 2: Calculate the fraction of painted sections.
  • Step 3: Compare each fraction to 19\frac{1}{9}.

Now, let's analyze each choice:

Choice 1: The illustration shows one painted section out of 9 total sections, so the fraction is 19\frac{1}{9}.

Choice 2: The illustration shows three painted sections out of 9 total sections, so the fraction is 39=13\frac{3}{9} = \frac{1}{3}.

Choice 3: The illustration shows one painted section out of 9 total sections, which equals 19\frac{1}{9}.

Choice 2's 13\frac{1}{3} is greater than 19\frac{1}{9} since 13=39\frac{1}{3} = \frac{3}{9}.

Thus, the configuration in Choice 2 represents a painted part that is greater than 19\frac{1}{9}.

Therefore, the option with a painted part greater than 19\frac{1}{9} is Choice 2.

Answer