Rewrite this fraction problem as a percent problem.
$\text{Find } \frac{3}{4} \text{ of } 88.$
To rewrite the fraction problem "Find \(\frac{3}{4}\) of 88" as a percentage problem, we first examine the fraction \(\frac{3}{4}\). A fraction represents a part of a whole, and it can be equivalently expressed as a percentage, which is a way of expressing a number as a fraction of 100. The objective is to determine what percentage corresponds to the fraction \(\frac{3}{4}\).
To convert a fraction to a percentage, we multiply the fraction by \(100\%\). For the fraction \(\frac{3}{4}\), we perform the following calculation:
\[ \frac{3}{4} \times 100\% = 0.75 \times 100\% = 75\% \]
This shows that \(\frac{3}{4}\) is equivalent to \(75\%\).
Now that we have determined that \(\frac{3}{4}\) is equal to \(75\%\), we can replace the fraction in the original problem statement. Instead of asking to "Find \(\frac{3}{4}\) of 88," we ask to "Find \(75\%\) of 88." This is the standard way to express the same mathematical task using percentages. Thus, the final equivalent percentage problem is:
\[ \text{Find } 75\% \text{ of } 88. \]
In real life, percentages are frequently used for calculating discounts on items during a sale. For example, if a store advertises a 75% discount on an item originally priced at \$88, you are essentially paying for \(\frac{1}{4}\) of the item's cost, while the discount represents \(\frac{3}{4}\) of the price. Recognizing that \(\frac{3}{4} = 75\%\) helps shoppers quickly estimate savings and final prices without needing to struggle with fraction multiplication at the register.