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?

1 answer

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.