Evaluate the following expression:
$3 - \frac{6}{5} =$
(Type an integer or a fraction. Simplify your answer.)
To calculate the value of the expression \(3 - \frac{6}{5}\), we first need to express the integer 3 as a fraction that has a common denominator with the fraction \(\frac{6}{5}\). The denominator we need is 5. Therefore, we can write the integer 3 as:
\[3 = \frac{3 \times 5}{5} = \frac{15}{5}\]
Now that both terms have a denominator of 5, we can easily subtract them:
\[\frac{15}{5} - \frac{6}{5} = \frac{15 - 6}{5} = \frac{9}{5}\]
The fraction \(\frac{9}{5}\) is already in its simplest form because 9 and 5 have no common factors other than 1.
The result of the subtraction is \(\frac{9}{5}\). Expressed as a decimal, this is equivalent to 1.8, but as a simplified fraction, the result is \(\frac{9}{5}\). Thus, \(3 - \frac{6}{5} = \boxed{\frac{9}{5}}\).
Imagine you have 3 whole pizzas and you give away \(\frac{6}{5}\) of a pizza to your friends. To find out how much pizza you have left, you calculate \(3 - \frac{6}{5}\). By converting your 3 pizzas into fifths, you have \(\frac{15}{5}\) pizzas, and after giving away \(\frac{6}{5}\), you are left with \(\frac{9}{5}\) pizzas. This simple subtraction helps in managing portions and resources efficiently!