Write the following fraction as a percent

Explanation

We will write the fraction \(\frac56\) 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 \(\frac56\) as a decimal, we divide the numerator, 5, by the denominator 6.  The result is a repeating decimal. 0.8333...
2. Multiply 0.8333 ... by 100 by moving the decimal point 2 places to the right, and then insert a % symbol.
   • 0.833 ... = 083.33 ...%

or an approximation we can round 83.333...% to a specific place value

83.3...% ≈ 83.3%