Question

Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch

Answer 1

3/16
1/8 < x < 1/4
1/2 > 1/4 so 1/2 is wrong
If we multiply both top and bottom of 1/4 by 4 we get 4/16 which is less than 5/16 so 5/16 is wrong
4/32 can be simplified to 1/8 which is given to be too small so 4/32 is wrong
8/32 can be simplified to 1/4 which is given to be too big so 8/32 is wrong