Evaluate the following expression:
$\frac{10}{5}-\frac{3}{2}$
The problem asks us to evaluate the arithmetic expression \(\frac{10}{5} - \frac{3}{2}\). Following the order of operations, we first perform the division within the expression. We have one term \(\frac{10}{5}\) and one term \(\frac{3}{2}\) to subtract from the first result. We will simplify the division first, then perform the subtraction.
First, we simplify the fraction \(\frac{10}{5}\). Since 10 divided by 5 is exactly 2, the expression \(\frac{10}{5} - \frac{3}{2}\) simplifies to:
\[2 - \frac{3}{2}\]
To perform the subtraction \(2 - \frac{3}{2}\), we need to express the integer 2 as a fraction with a denominator of 2. We can write 2 as \(\frac{4}{2}\) because \(\frac{4}{2} = 2\). Now, we perform the subtraction:
\[\frac{4}{2} - \frac{3}{2} = \frac{4 - 3}{2} = \frac{1}{2}\]
Thus, the final result is \(\frac{1}{2}\), which is also equal to 0.5.
Imagine you are baking cookies and the recipe calls for 2 cups of sugar, but you accidentally spilled \(\frac{3}{2}\) cups of sugar while measuring it out. By using the calculation \(\frac{10}{5} - \frac{3}{2}\), where \(\frac{10}{5}\) represents the 2 cups you intended to use, you can determine how much sugar you actually used compared to your initial amount, helping you understand how to adjust your recipe if necessary. Such simple arithmetic is fundamental to managing quantities and adjusting ratios in cooking and daily chores.