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 point) h + =
h + 1 7/8 = 2 1/4
To determine the number of hours, h, that Moira needs to read to finish the book, we can subtract the amount of time she already read from the total time needed.
First, let's convert the mixed numbers into improper fractions:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
1 7/8 = (1 * 8 + 7) / 8 = 15/8
Then, we can subtract the time already read from the total time needed:
h + 15/8 = 9/4
Now, we can simplify the equation by multiplying both sides by the common denominator (8):
8(h) + 15 = 18
Next, we can solve the equation to find the value of h:
8h = 18 - 15
8h = 3
h = 3/8
Therefore, the equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book is:
h + 15/8 = 9/4
To determine the number of hours, h, that Moira needs to read to finish the book, we can set up the equation:
h + 1 7/8 = 2 1/4
To solve this equation, we need to find a common denominator for 8 and 4, which is 8.
Converting the fractions to have a denominator of 8:
h + (15/8) = (18/8)
Now, let's subtract (15/8) from both sides of the equation:
h + (15/8) - (15/8) = (18/8) - (15/8)
Simplifying:
h = 3/8
Therefore, the equation that can be used to determine the number of hours, h, that Moira needs to read to finish the book is:
h + 1 7/8 = 2 1/4
or
h + 15/8 = 18/8