Final answer:
Mikey spent a total of 4 hours and 52.5 minutes on her mathematics and science homework. The solution involved converting 7/8 hour to minutes, adding this to the time spent on mathematics homework, and converting the final total back to hours and minutes.
Step-by-step explanation:
To solve the word problem about the total time Mikey spent on her mathematics and science homework, we need to add both durations together. Mikey worked on her mathematics homework for 4 hours and her science homework for 7/8 hour. Since there are 60 minutes in an hour, we need to convert 7/8 hour to minutes to make it easier to add the times together.
First, calculate the number of minutes that correspond to 7/8 hour:
7/8 hour × 60 minutes/hour = 52.5 minutes
Next, add this to the 4 hours Mikey spent on her mathematics homework:
4 hours × 60 minutes/hour = 240 minutes
240 minutes + 52.5 minutes = 292.5 minutes
Lastly, convert the total time back to hours and minutes:
292.5 minutes ÷ 60 minutes/hour = 4 hours and 52.5 minutes
So, in total, Mikey spent 4 hours and 52.5 minutes doing homework.