Chapter 3.1, Problem 67STP

To determine

To identify: The correct option for the given pair of fractions.

Answer to Problem 67STP

B. $\frac{7}{10}$ and $\frac{4}{5}$

Explanation of Solution

Given Information:

The given fractions are $\frac{7}{9},\frac{3}{5},\frac{3}{4},\frac{7}{10},\frac{4}{5}and\frac{2}{3}$ .

To compare the given values first it is required to make the denominators same by taking the LCM of the denominators.

  $\frac{7}{9}=\frac{7\times 20}{9\times 20}=\frac{140}{180}$

  $\frac{3}{5}=\frac{3\times 36}{5\times 36}=\frac{108}{180}$

  $\frac{3}{4}=\frac{3\times 45}{4\times 45}=\frac{135}{180}$

  $\frac{7}{10}=\frac{7\times 18}{10\times 18}=\frac{126}{180}$

  $\frac{4}{5}=\frac{4\times 36}{5\times 36}=\frac{144}{180}$

  $\frac{2}{3}=\frac{2\times 60}{3\times 60}=\frac{120}{180}$

Here, $\frac{140}{180}$ lies between $\frac{126}{180}$ and $\frac{144}{180}$

From the given options, only option B satisfies i.e. $\frac{7}{9}$ lies between $\frac{7}{10}$ and $\frac{4}{5}$.