Chapter 3.1, Problem 66STP

To determine

To identify: The correct option for the given fractions in increasing order.

Answer to Problem 66STP

H. $\frac{1}{3}$, $\frac{3}{8}$, $\frac{2}{5}$, $\frac{5}{12}$, $\frac{1}{2}$

Explanation of Solution

Given information:

The measurements given are as follows:

  $\frac{2}{5}$ , $\frac{3}{8}$ , $\frac{1}{3}$ , $\frac{1}{2}$ and $\frac{5}{12}$

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

Now, the LCM of 5,8,3,2 and 12 is 120.

  $\frac{2}{5}=\frac{2\times 24}{5\times 24}=\frac{48}{120}$

  $\frac{3}{8}=\frac{3\times 15}{8\times 15}=\frac{45}{120}$

  $\frac{1}{3}=\frac{1\times 40}{3\times 40}=\frac{40}{120}$

  $\frac{1}{2}=\frac{1\times 60}{2\times 60}=\frac{60}{120}$

  $\frac{5}{12}=\frac{5\times 10}{12\times 10}=\frac{50}{120}$

Here, $\frac{40}{120}$< $\frac{45}{120}$< $\frac{48}{120}$< $\frac{50}{120}$< $\frac{60}{120}$

$\frac{1}{3}$< $\frac{3}{8}$< $\frac{2}{5}$< $\frac{5}{12}$< $\frac{1}{2}$ .