Moira needs a total of 2¼ hours to finish reading a book. Yesterday, she read for 1⅜ 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 point)
The equation that can be used to determine the number of hours Moira needs to read to finish the book is:
1⅜ + h = 2¼
To find the number of hours, h, that Moira needs to read to finish the book, we can subtract the time she has already read from the total time needed.
Total time needed = 2¼ hours
Time she has already read = 1⅜ hours
We need to convert the fractions to the same denominator. Let's use eighths as the common denominator.
2¼ hours = 2 * 8/8 + 2/4 * 2/2 = 16/8 + 4/8 = 20/8 hours
1⅜ hours = 1 * 8/8 + 3/4 * 2/2 = 8/8 + 6/8 = 14/8 hours
Now we can subtract the time she has already read from the total time needed:
h = (20/8) - (14/8)
Simplifying the equation:
h = 6/8
h = 3/4
Therefore, the equation to determine the number of hours, h, that Moira needs to read to finish the book is:
h = 3/4
To determine the number of hours, h, that Moira needs to read to finish the book, we can use the equation:
Total reading time = Yesterday's reading time + Remaining reading time
The given information states that Moira needs a total of 2¼ hours to finish reading the book and that yesterday, she read for 1⅜ hours.
To find the remaining reading time, we subtract yesterday's reading time from the total reading time:
Remaining reading time = Total reading time - Yesterday's reading time
Substituting the given values into the equation:
Remaining reading time = 2¼ hours - 1⅜ hours
Now, let's convert the mixed numbers to improper fractions to perform the subtraction:
2¼ hours = 9/4 hours
1⅜ hours = 11/8 hours
Substituting the fractional values into the equation:
Remaining reading time = 9/4 hours - 11/8 hours
To subtract fractions, we need a common denominator:
The common denominator for 4 and 8 is 8.
Converting the fractions:
Remaining reading time = 9/4 hours - 11/8 hours
= (9/4) * (2/2) hours - 11/8 hours
= 18/8 hours - 11/8 hours
= 7/8 hours
Therefore, the equation to determine the number of hours, h, that Moira needs to read to finish the book is:
Total reading time = Yesterday's reading time + Remaining reading time
= 1⅜ hours + 7/8 hours, or
= 11/8 hours + 7/8 hours
= (11 + 7)/8 hours
= 18/8 hours
= 2¼ hours