Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. what fraction of the weekday does tim spend either sleeping or in school

We have been given that Tim spends about 1/3 of each weekday sleeping and about 7/24 of each weekday in school. And we need to find what fraction of the weekday does Tim spend either sleeping or in school.

This means that we need to find the time he spends in sleeping when he is in the school.

Therefore, we have to add the time he spends in sleeping and the time he spends in school.

Therefore, required fraction is given by

Now in order to add the fractions, we have to make the denominator same.

Multiply the numerator and denominator of first fraction by 8 to make the same denominator.

Now, we have the same denominator hence, we can add the numerator

Therefore, Tim spends 15/24 hours each weekday sleeping in the school.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2