Answer:
[tex]\frac{11}{96}[/tex] of an hour.
Step-by-step explanation:
Given:
Koran new chatted online with all her friends on Saturday for = 2/3 of a hour.
Koran new chatted online with all her friends on Sunday for = 1/4 of an hour.
She chatted with Penelope for = 1/8 of the total time.
Question asked:
Which fraction of an hour did Koran apes chatting with Penelope ?
Solution:
Koran new chatted online with all her friends on Saturday for = [tex]\frac{2}{3}[/tex] of an hour
Koran new chatted online with all her friends on Sunday for = [tex]\frac{1}{4}[/tex] of an hour
Total time of chatting = [tex]\frac{2}{3}+[/tex] [tex]\frac{1}{4}[/tex]
= [tex]\frac{8+3}{12}[/tex] ( By taking LCM of 3 and 4 we get 12 )
= [tex]\frac{11}{12}[/tex] of an hour
Now, She chatted with Penelope for = [tex]\frac{1}{8}\ of \frac{11}{12} = \frac{1}{8}\ \times \frac{11}{12} = \frac{11}{96}[/tex] of an hour
Therefore, Koran chat [tex]\frac{11}{96}[/tex] of an hour with Penelope.