Nisha wants to study 5 hours at 1/3 hours per night. How many nights will she have to study?
(1/3) n = 5
n = 3*5 = 15 nights
To find out how many nights Nisha will have to study, we need to divide the total number of hours she wants to study by the number of hours she can study per night. In this case, Nisha wants to study for 5 hours and can study for 1/3 hours per night.
To divide fractions, we multiply by the reciprocal of the divisor. So, we can convert 1/3 to a whole number by taking its reciprocal. The reciprocal of 1/3 is 3/1.
Now we can calculate the number of nights using the formula:
Number of nights = Total hours / Hours per night
Number of nights = 5 hours ÷ (1/3 hour/night)
= 5 hours × (3/1 hour/night)
= 15 nights
Therefore, Nisha will have to study for 15 nights to complete 5 hours of studying.