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The equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week is:
h + 21 1/5 = 30
To solve the equation, we need to subtract 21 1/5 from both sides:
h = 30 - 21 1/5
To subtract the mixed fraction, we need to find a common denominator. The common denominator of 5 and 1 is 5. So, 1/5 can be written as 5/5:
h = 30 - 21 - 5/5
To subtract the mixed number, we need to convert it to a fraction. 21 can be written as 21/1:
h = 30 - 21 - 5/5
h = 30 - 21/1 - 5/5
Next, we can simplify the expression:
h = 30 - 21 - 1 - 1
h = 8
Therefore, Richard still needs to work 8 hours to reach 30 hours for the week.