Write the following fraction as a percent

Explanation

We will write the fraction \(\frac{13}{4}\) as a decimal.  Then we will write that decimal as a percent.  A fraction-to-decimal-to-percent approach must be used to write a fraction as a percent.

Solution

1. To write \(\frac{13}{4}\) as a decimal, we divide the numerator, 13, by the denominator, 4. which is 3.25
2. To write 3.25 as a percent, we proceed as follows.
   • Multiply 3.25 by 100 by moving the decimal point 2 places to the right, and then insert a % symbol.
     • 3.25 = 325%

The fraction \(\frac{13}{4}\), written as a percent, is 325%