Visual Representation of Improper Fraction 27/12: Choose the Correct Image

Question

Choose the option that visually represents the following fraction:

2712 \frac{27}{12}

Video Solution

Step-by-Step Solution

To solve this problem, we'll first convert the improper fraction 2712 \frac{27}{12} into a mixed number. Dividing 27 by 12, we get:

  • 27 ÷ 12 = 2 with a remainder of 3.

This means 2712=2312 \frac{27}{12} = 2 \frac{3}{12} . We can simplify 312 \frac{3}{12} to 14 \frac{1}{4} . Thus, the mixed number is 214 2 \frac{1}{4} .

Next, we look for the visual representation that displays this value. A correct representation will show two full circles and an additional quarter of a circle shaded.

Reviewing the provided options, the correct option visually representing 2712=214 \frac{27}{12} = 2 \frac{1}{4} is option 3, which shows two fully shaded circles and one circle shaded to one-quarter.

Therefore, the solution to the problem is choice 3.

Answer