8. If it takes 1/4 hr to type 3/4 of a report, how long does it take to type the entire report?

 

This can be done as an A = RB type of problem. In this case the rate would be the number of hours per report. In that case, the base would be the number of reports, which, in this case is the fraction 3/4, and the amount would be the number of hours, which, in this case is the fraction 1/4. When you are looking for the rate you use the equation R = A/B which is

 

 

Invert and multiply

 

 

The 4's cancel and the answer is 1/3 hr.

 

This can also be done using ratio and proportion. Complete the following table.

 

 

When you set up the ratio and proportion problem

 

 

you will also find that you are going to divide 1/4 by 3/4.

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Fraction Word Problems #8