to degrees, minutes, and seconds. degrees minutes seconds (rounded to the tenths decimal place)

Statement Problem: Convert
[tex]158.769^{\circ}[/tex]to degrees, minutes and seconds.
Solution:
Step 1: Use the whole number part of the decimal as the degrees.
Thus, blank 1 is;
[tex]158\text{ degr}ees[/tex]Step 2: Multiply the remaining decimal by 60;
[tex]0.769\times60=46.14[/tex]Use the whole number part of the answer as the minutes.
Thus, blank 2 is;
[tex]46\text{ minutes}[/tex]Step 3: Multiply the remaining decimal by 60;
[tex]0.14\times60=8.4[/tex]Thus, blank 3 is;
[tex]8.4\text{ minutes}[/tex]