To determine how many more hours Moira needs to read to finish the book, we can set up the equation in the form of \( h + \text{(hours read)} = \text{(total hours)} \).
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Total hours needed to finish the book: \( 2 \frac{1}{4} \) hours
- Converting \( 2 \frac{1}{4} \) to an improper fraction: \[ 2 \frac{1}{4} = \frac{9}{4} \text{ hours} \]
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Hours read yesterday: \( 1 \frac{7}{8} \) hours
- Converting \( 1 \frac{7}{8} \) to an improper fraction: \[ 1 \frac{7}{8} = \frac{15}{8} \text{ hours} \]
Now we need to find the number of hours, \( h \), that Moira still needs to read. We can express this as: \[ h + \frac{15}{8} = \frac{9}{4} \]
Next, we need to convert \( \frac{9}{4} \) to eighths to make the denominators match: \[ \frac{9}{4} = \frac{18}{8} \]
Now the equation becomes: \[ h + \frac{15}{8} = \frac{18}{8} \]
To isolate \( h \), we subtract \( \frac{15}{8} \) from both sides: \[ h = \frac{18}{8} - \frac{15}{8} = \frac{3}{8} \]
So, to set up the equation, we have: \[ h + \frac{15}{8} = \frac{9}{4} \]
Now, filling in the blanks: \[ h + \frac{15}{8} = \frac{9}{4} \]
Thus, the correct numbers to complete the equation are: \[ h + \frac{15}{8} = \frac{9}{4} \]