Richard needed to read 5 books for his summer reading assignment. It took him 4,5/8

hours to read the first 2 books. It took him 7,7/8
hours to read the remaining 3 books. How long did it take Richard to read all 5 books?

(1 point)
Responses

11,4/8
hours

11 4 8 hours

11,6/8
hours

11 6 8 hours

12,4/8
hours

12 4 8 hours

12,6/8
hours

12 6 8 hours

1 answer

First, we need to convert the mixed numbers into improper fractions for easier calculation.

  1. For the first 2 books:

    • \( 4 \frac{5}{8} \) hours can be converted to an improper fraction: \[ 4 \frac{5}{8} = \frac{4 \times 8 + 5}{8} = \frac{32 + 5}{8} = \frac{37}{8} \text{ hours} \]
  2. For the remaining 3 books:

    • \( 7 \frac{7}{8} \) hours can be converted to an improper fraction: \[ 7 \frac{7}{8} = \frac{7 \times 8 + 7}{8} = \frac{56 + 7}{8} = \frac{63}{8} \text{ hours} \]

Now, we will add the times together: \[ \text{Total time} = \frac{37}{8} + \frac{63}{8} = \frac{37 + 63}{8} = \frac{100}{8} \]

Now, we can simplify \( \frac{100}{8} \): \[ \frac{100}{8} = 12 \frac{4}{8} \]

Thus, the total time Richard took to read all 5 books is \( 12 \frac{4}{8} \) hours, which can also be expressed as \( 12, 4/8 \) hours.

Therefore, the correct response is: 12, 4/8 hours.