Answered

Multiply to solve.

$\begin{aligned}

& \frac{32}{100} \cdot 300 \\

= & \frac{32 \cdot 300}{100} \\

= & \frac{32 \cdot 3}{1} \\

= & \square

\end{aligned}$

Verified Answer :

  • Rewrite the expression as a single fraction: \(\frac{32 \times 300}{100}\).
  • Simplify by dividing both the numerator and denominator by 100: \(32 \times 3\).
  • Calculate the final product to get 96.
  • The final answer is \(\boxed{96}\).

Explanation

  1. Understanding the Problem

The problem asks us to evaluate the expression \(\frac{32}{100} \cdot 300\). This involves multiplication and division of a rational number by an integer. We are given a step-by-step simplification approach to follow.

  1. Simplifying the Expression

The first step is to combine the numerator with the integer being multiplied:
\[\frac{32}{100} \cdot 300 = \frac{32 \cdot 300}{100}\]
Next, we simplify the fraction. We can divide both the numerator and the denominator by \(100\):
\[\frac{32 \cdot 300}{100} = \frac{32 \cdot (3 \cdot 100)}{100} = 32 \cdot 3\]
Now, we perform the final multiplication:
\[32 \cdot 3 = 96\]
Thus, the final value is 96.

Examples

Calculating percentages is a fundamental skill in everyday life, such as determining the final price of an item during a sale. If a store offers a 32% discount on an item that originally costs \$300, you are essentially calculating @@MATH_TOKEN_8@@ to find the amount you will save. In this case, @@MATH_TOKEN_9@@, meaning you would save \$96 on your purchase.

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