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.
1 7/8 + h = 2 1/4
To determine the number of hours, h, that Moira needs to read to finish the book, we can set up the equation:
Total time needed - Time already read = Time Moira still needs to read
Let's substitute the given values into the equation:
2 1/4 hours - 1 7/8 hours = h
To subtract the mixed numbers, we need to convert them to improper fractions:
2 1/4 = 9/4
1 7/8 = 15/8
Now we can substitute the values into the equation:
9/4 - 15/8 = h
To subtract the fractions, we need to find a common denominator. The common denominator for 4 and 8 is 8.
Multiplying the first fraction by 2/2 (which is equivalent to 1 since 2/2 = 1), we have:
(9/4) * (2/2) = 18/8
Now, the equation becomes:
18/8 - 15/8 = h
Subtracting the fractions, we have:
(18 - 15)/8 = h
Simplifying the numerator:
3/8 = h
Therefore, Moira still needs to read 3/8 hours 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 read yesterday from the total time she needs to finish the book.
The total time Moira needs to finish the book is 2 1/4 hours.
Yesterday, Moira read for 1 7/8 hours.
To subtract these two times, we need to convert the mixed numbers to improper fractions.
2 1/4 can be written as (2 * 4) + 1 = 9/4
1 7/8 can be written as (1 * 8) + 7 = 15/8
So, the equation to determine the number of hours, h, that Moira needs to read to finish the book is:
h = 9/4 - 15/8
To subtract fractions, we need a common denominator, which is 8 in this case.
Multiplying the numerator and denominator of 9/4 by 2, we get 18/8.
Thus, the equation becomes:
h = 18/8 - 15/8
Now, subtract the numerators and keep the denominator the same:
h = (18 - 15)/8
h = 3/8
Therefore, the correct numbers to complete the equation are h = 3/8.