Question

Use the circle to help you complete the statements. Divide the circle into 8 equal sections. Then shade _____ of the sections to model the fraction 5/8.

A) 2 sections
B) 4 sections
C) 5 sections
D) 6 sections

Answer 1

To model the fraction 5/8 by shading parts of a circle divided into 8 equal sections, you must shade 5 of those sections. The correct answer is C) 5 sections.

Step-by-step explanation:

To complete the statements regarding the division of a circle, you need to understand how to represent fractions as parts of a whole. In this case, the whole is a circle that is divided into eight equal sections. When you are asked to model the fraction 5/8, you are looking to shade parts of the whole in such a way that it corresponds to five out of the eight equal parts.

To find how many sections to shade, you use the numerator of the fraction. Here, the numerator is 5, which means you need to shade five sections. Hence, you should shade 5 sections to represent the fraction 5/8. Option A (2 sections), Option B (4 sections), and Option D (6 sections) are incorrect because they would represent 2/8, 4/8 (which simplifies to 1/2), and 6/8 (which simplifies to 3/4), respectively.

Remember that dividing by 8 is the same as multiplying by 1/8, and to achieve the fraction 5/8, you need to have five of those 'one-eighths'. Therefore, the correct answer in this context is C) 5 sections.