Kira new chatted online with all her friends for 2/3 of a hour on Saturday and 1/4 of an hour on Sunday. She chatted with Penelope for 1/8 of the time. Which fraction of an hour did Koran apes chatting with Penelope?

Respuesta :

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.