Convert 28^circ 57'47'' to a decimal number of degrees. Do not round any intermediate computations. Round your answer to the nearest thousandth.

To convert $28^{\circ }57'47''$ to a decimal number of degrees, we need to convert the minutes and seconds to degrees.<br /><br />First, let's convert the minutes to degrees:<br />$57' = 57/60 = 0.95$ degrees<br /><br />Next, let's convert the seconds to degrees:<br />$47'' = 47/3600 = 0.0131$ degrees<br /><br />Now, we can add up the degrees, minutes, and seconds to get the final answer:<br />$28^{\circ }57'47'' = 28 + 0.95 + 0.0131 = 28.9631$ degrees<br /><br />Rounding to the nearest thousandth, we get:<br />$28.963$ degrees