Moria needs a total of 2 1/4 hours to finish reading a book Yesterday she read for 1 7/8 hours supply the correct numbers to complete the equation that can be used to determine the number of hours ,h, that Moria needs to finish the book

1 answer

If Moria needs a total of 2 1/4 hours to finish reading a book and she has already spent 1 7/8 hours reading, we can set up an equation to find the remaining number of hours she needs, denoted by h.

First, we'll convert the mixed numbers to improper fractions to make the calculation easier.

2 1/4 hours = (2 * 4 + 1) / 4 = 9/4 hours
1 7/8 hours = (1 * 8 + 7) / 8 = 15/8 hours

Now we can subtract the time she has already read from the total time required:

Total time - Time already read = Remaining time
(9/4 hours) - (15/8 hours) = h

To subtract these two fractions, they need to have a common denominator. The common denominator for 4 and 8 is 8. So we need to convert 9/4 to a fraction with a denominator of 8:

(9/4 hours) * (2/2) = 18/8 hours

Now we can subtract:

(18/8 hours) - (15/8 hours) = h
3/8 hours = h

So, Moria needs an additional 3/8 of an hour to finish the book. If you want to express this in minutes, you multiply by 60 (since there are 60 minutes in an hour):

3/8 * 60 minutes = 22.5 minutes

Therefore, Moria needs an additional 22.5 minutes to finish reading her book. The complete equation would be:

(9/4 hours) - (15/8 hours) = h
or
18/8 hours - 15/8 hours = 3/8 hours
or in terms of h:
h = 3/8 hours