Anthony got a shipment of various box sets of albums, but he doesn’t have enough room on his shelves for all of them. The box sets measure 1

Question

4
inch, 0.5 inch, 3
8
inch, 1 inch, and 1.5 inches. He can only display box sets that are less than 5
8
inch.

Which sizes can he display? Choose all that apply.
One-fourthinch
0.5 inch
StartFraction 3 Over 8 EndFractioninch
1 inch
1.5 inch

Answer 1

To determine which box sets Anthony can display, we need to compare each size to his maximum display limit of \( \frac{5}{8} \) inch.

1. \( \frac{1}{4} \) inch:
   \( \frac{1}{4} \) inch is equal to \( 0.25 \) inch, which is less than \( \frac{5}{8} \) inch.

2. \( 0.5 \) inch:
   \( 0.5 \) inch is equal to \( \frac{1}{2} \) inch, which is also less than \( \frac{5}{8} \) inch.

3. \( \frac{3}{8} \) inch:
   \( \frac{3}{8} \) inch is less than \( \frac{5}{8} \) inch.

4. \( 1 \) inch:
   \( 1 \) inch is greater than \( \frac{5}{8} \) inch.

5. \( 1.5 \) inch:
   \( 1.5 \) inch is also greater than \( \frac{5}{8} \) inch.

Based on this analysis, the sizes that Anthony can display are:

• \( \frac{1}{4} \) inch
• \( 0.5 \) inch
• \( \frac{3}{8} \) inch