Question

A rule of thumb is that for a 3 credits college course a student should study at least 6 hrs. per week. If your MAT course is a 3 credits course and this week you studied for 3/5 hrs. on Monday, 16/4 hrs. on Wednesday and 2/3 hrs. on Friday. How many hrs. should you study over the weekend to fulfill the 6 hrs. limit?

Answer 1

The number of hours that should be used to study over the weekend =$\frac{11}{15}$hrs

The number of hours to study 3 credit course is = 6hrs/ week.

The number of hours studied on monday, wednesday and friday,

                                                                      = 3/5 + 16/4 +2/3

                                                             

The lowest common multiple of the denominators 5, 4 and 3 = 60

                                                                       = $\frac{36 + 240 + 40}{60}$

                                                                       = 316/60

Reduce to the lowest figure by dividing through with 4,

                                                                       = 79/15

To detemine the extra hours to be studied over the weekend, subtract 79/15 from 6.

that is,       6/1 - 79/15

The lowest common multiple of denominators 1 and 15  = 15

                                                                  = $\frac{90 - 79}{15}$

                                                                  = $\frac{11}{15}$ hrs

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