Chapter 1, Problem 3SAP

To determine

To select: the value of denominator by simplifying the given fraction.

Answer to Problem 3SAP

B. 3

Explanation of Solution

Given information:

Fraction given is $\frac{4\frac{1}{3}}{2\frac{3}{5}}$.

The given options are as follows:

1. 2
2. 3
3. 5
4. 9
5. 13

Calculation:

The fraction can be simplified as follows:

  $\begin{array}{c}\frac{4\frac{1}{3}}{2\frac{3}{5}}=\frac{\frac{13}{3}}{\frac{13}{5}}\left[\text{Solve the mixed fractions}\right]\\ =\frac{\frac{13}{3}}{\frac{13}{5}}\left[\text{taking reciprocal of the denominator}\right]\\ =\left(\frac{13}{3}\right)\left(\frac{5}{13}\right)\left[\text{Simplify}\right]\\ \text{=}\frac{5}{3}\end{array}$

The denominator is 3. Thus, option B is correct.