College

Jose added up his work hours for his paycheck. Last week he worked 25 \(\frac{5}{8}\) hours. This week he worked 32 \(\frac{5}{6}\) hours. How many total hours did he work in two weeks?

Please provide the steps for the calculation.

Answer :

Final answer:

Jose worked a total of 58 11/24 hours over two weeks. To find this, we added the whole numbers and fractional hours separately, converted the fractions to have a common denominator, and then added this to the whole hours.

Explanation:

To solve this problem, you first have to add together the whole number of hours and then the fractional parts of the hours separately. Jose worked 25 full hours one week and 32 full hours the next week which totals to 57 hours (25+32=57). Now, let's add the fractional part, Jose worked 5/8 of an hour one week and 5/6 of an hour the next week. To add these fractions, they must have the same denominator. The least common denominator between 8 and 6 is 24. So rewrite 5/8 as 15/24 and 5/6 as 20/24. Adding these together gives you 35/24 which is equivalent to 1 11/24 hours. Finally, add this to the whole hour count to get the total hours Jose worked over two weeks. The total is 58 11/24 hours (57+1 11/24 = 58 11/24).

Learn more about Adding Fractions here:

https://brainly.com/question/30386214

#SPJ3