Question

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.

Answer 1

The equation to determine the number of hours, h, that Moira needs to read to finish the book is:

1 7/8 + h = 2 1/4

To solve this equation, convert the mixed numbers to improper fractions:
1 7/8 = (8*1 + 7)/8 = 15/8
2 1/4 = (4*2 + 1)/4 = 9/4

So the equation becomes:
15/8 + h = 9/4

To solve for h, we need to isolate the h term. We can do this by subtracting 15/8 from both sides of the equation:

h = 9/4 - 15/8

Performing the subtraction:
h = (9*2 - 15)/8
h = 18/8 - 15/8
h = 3/8

Therefore, Moira needs to read 3/8 hours to finish the book.