Chapter 3.1, Problem 47PPS

To determine

To arrange:The given bolts measurements in increasing order.

Answer to Problem 47PPS

Increasing order of the bolts:

  $\frac{3}{32}$, $\frac{5}{16}$, $\frac{3}{8}$, $\frac{1}{2}$, $\frac{3}{4}$.

Explanation of Solution

Given information:

The measurements that are given are as follows:

  $\frac{1}{2}$ , $\frac{5}{16}$, $\frac{3}{32}$, $\frac{3}{4}$, and $\frac{3}{8}$(all in inches)

To compare the given fractions first make the denominators same by taking the LCM of the denominators.

The LCM of 2, 16, 32, 4 and 8 is 32. Thus,

  $\frac{1}{2}=\frac{1\times 16}{2\times 16}=\frac{16}{32}$

  $\frac{5}{16}=\frac{5\times 2}{16\times 2}=\frac{10}{32}$

  $\frac{3}{32}$

  $\frac{3}{4}=\frac{3\times 8}{4\times 8}=\frac{24}{32}$

  $\frac{3}{8}=\frac{3\times 4}{8\times 4}=\frac{12}{32}$

Next compare the numerator of fractions to find the larger one. Thus $\frac{3}{32}$< $\frac{10}{32}$< $\frac{12}{32}$< $\frac{16}{32}$< $\frac{24}{32}$

$\frac{3}{32}$< $\frac{5}{16}$< $\frac{3}{8}$< $\frac{1}{2}$< $\frac{3}{4}$