Fraction Comparison: Identifying Areas Greater Than 3/5

Question

Choose the way in which the painted part is greater than 35 \frac{3}{5}

Video Solution

Step-by-Step Solution

To solve this problem, we'll analyze each representation:

  • Step 1: Identify the divisions and colored sections in each representation.
  • Step 2: Convert the colored sections to fractions relative to the total divisions.
  • Step 3: Compare each fraction with 35 \frac{3}{5} .

Let's apply these steps:

Choice 1: The rectangle is divided into 5 parts with 3 parts colored on the left and 1 part colored on the right, so this represents 35+15=45 \frac{3}{5} + \frac{1}{5} = \frac{4}{5} . This is greater than 35 \frac{3}{5} .

Choice 2: The rectangle shows 1 part colored out of 5 total, 15 \frac{1}{5} , which is less than 35 \frac{3}{5} .

Choice 3: Similar to Choice 2, it shows 1 part colored out of 5 total, 15 \frac{1}{5} , which is also less than 35 \frac{3}{5} .

Choice 4: Two sections each representing 15 \frac{1}{5} , totaling 25 \frac{2}{5} , which is less than 35 \frac{3}{5} .

Therefore, the correct choice is Choice 1 where the painted part, 45 \frac{4}{5} , is greater than 35 \frac{3}{5} .

Answer