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)

Answer 1

The equation that represents the number of hours Richard needs to work to reach 30 hours for the week is:

h = 30 - 21 1/5

To solve the equation, first convert the mixed number 21 1/5 to a fraction. The fraction is 21 1/5 = 21 + 1/5 = 105/5 + 1/5 = 106/5.

So, the equation becomes:

h = 30 - 106/5

To calculate this, we need to find a common denominator. The common denominator is 5.

30 is equivalent to 30/1.

Now, subtract the fractions:

h = (30/1) - (106/5)

To subtract the fractions, we need to find a common denominator. The common denominator is 5.

30/1 = (30/1) * (5/5) = (150/5)

Now, the equation becomes:

h = (150/5) - (106/5)

To subtract the fractions, we subtract the numerators:

h = (150-106)/5

h = 44/5

So Richard needs to work 44/5 hours to reach 30 hours for the week.