During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h , Richard needs to work to reach 30 hours for the week and solve the equation.(1 point)
how many hours is h?
To find the number of hours, h, that Richard needs to work to reach a total of 30 hours for the week, we can set up the following equation:
21 1/5 + h = 30
To solve for h, we need to isolate it by subtracting 21 1/5 from both sides of the equation:
h = 30 - 21 1/5
To subtract the mixed number, we first need to convert it to an improper fraction:
21 1/5 = (21 * 5 + 1) / 5 = 106/5
Now we can substitute the value back into the equation:
h = 30 - 106/5
To subtract the fractions, we need a common denominator of 5:
h = 150/5 - 106/5
Now we can subtract the fractions:
h = (150 - 106) / 5
h = 44/5
So, the number of hours, h, that Richard needs to work to reach 30 hours for the week is 44/5.