Chapter 0, Problem 1RP

To determine

The simplest form of the given expression.

Answer to Problem 1RP

Solution: The simplest form of the given expression is $\frac{3}{4}$.

Explanation of Solution

Given: The expression is $\frac{36}{48}$.

Calculation:

The given expression is,

$\frac{36}{48}$

Write the numerator and denominator of the above fraction as a product of prime factor as follows,

$\begin{array}{c}\frac{36}{48}=\frac{2\times 2\times 3\times 3}{2\times 2\times 2\times 2\times 3}\\ =\frac{3}{2\times 2}\left[\begin{array}{l}\text{remove}\text{the}\text{common}\text{factor}2\text{and}3\\ \text{from}\text{numerator}\text{and}\text{denominator}\end{array}\right]\\ =\frac{3}{4}\left[\text{multiply}\text{the}\text{remaining}\text{factors}\right]\end{array}$

Thus, the simplest form of the given expression is $\frac{3}{4}$.

Conclusion:

Therefore, the simplest form of the given expression is $\frac{3}{4}$.