Chapter 4.4, Problem 314E

Greg dropped his case of drill bits and three of the bits fell out. The case has slots for the drill bits, and the slots are arranged in order from smallest to largest. Greg needs to put the bits that fell out back in the case in the empty slots. Where do the three bits go? Explain how you know.

Bits in case: $\frac{1}{16},\frac{1}{8}$ , ___, ___, $\frac{5}{16},\frac{3}{8}$ , ___, $\frac{1}{2},\frac{9}{16},\frac{5}{8}$ .

Bits that fell out: $\frac{7}{16},\frac{3}{16},\frac{1}{4}$ .