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)

Answer 1

To determine the number of hours, h, that Moira needs to read to finish the book, we can set up the equation:

1 7/8 + h = 2 1/4

First, let's convert both mixed numbers to improper fractions:

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

Now, let's substitute these values into the equation:

15/8 + h = 9/4

Multiplying both sides of the equation by 8 to clear the fraction:

8 * (15/8 + h) = 8 * (9/4)
15 + 8h = 18

Now, subtract 15 from both sides of the equation:

15 + 8h - 15 = 18 - 15
8h = 3

Finally, divide both sides of the equation by 8 to solve for h:

8h/8 = 3/8
h = 3/8

So, Moira needs to read for 3/8 of an hour to finish the book.