Moira 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 Moira needs to read to finish the book.
h + 1 7/8 = 2 1/4
To find the number of hours, h, that Moira needs to read to finish the book, we can set up the equation:
Total time to finish the book - Time Moira already read = Time Moira still needs to read
Let's fill in the correct numbers:
2 1/4 hours - 1 7/8 hours = h
To subtract mixed numbers, we need to express them with the same denominator, which in this case is 8:
2 2/8 - 1 7/8 = h
Simplifying the left side of the equation:
2 2/8 - 1 7/8 = 2/8 - 7/8 + 2 = -5/8 + 2 = -3/8
Now, our equation is:
-3/8 = h
Therefore, Moira still needs to read -3/8 hours to finish the book. However, since time cannot be negative, we can conclude that Moira has already read more than the total time needed to finish the book.
To find the number of hours, h, that Moira needs to read to finish the book, we can subtract the time she already spent reading from the total time required.
Given that Moira needs a total of 2 1/4 hours to finish reading the book, and she read for 1 7/8 hours yesterday, we can set up the equation:
Total hours required - Hours already read = Remaining hours to be read
To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 8.
Convert 2 1/4 to an improper fraction:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
Convert 1 7/8 to an improper fraction:
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Now, we can subtract:
9/4 - 15/8 = (9 * 2 - 15) / 8 = (18 - 15) / 8 = 3/8
Therefore, the equation to determine the number of hours, h, that Moira needs to read to finish the book is:
3/8 = h