Josiah read 28 pages in 1, start fraction, 3, divided by, 5, end fraction 1 3/5 hours. At what rate, in pages per hour, did he read?

To determine Josiah's reading rate in pages per hour, we need to divide the total number of pages he read by the total time he spent reading.

Josiah read \(28\) pages in \(1 \frac{3}{5}\) hours. First, let's convert \(1 \frac{3}{5}\) hours into an improper fraction or a decimal.

### Converting Mixed Number to Improper Fraction

\[ 
1 \frac{3}{5} = 1 + \frac{3}{5} = \frac{5}{5} + \frac{3}{5} = \frac{8}{5}
\]

So, \(1 \frac{3}{5}\) hours is equal to \(\frac{8}{5}\) hours.

### Calculating the Reading Rate

Next, we need to divide the total pages by the time in hours to find the rate:

\[ 
\text{Reading Rate} = \frac{\text{Total Pages}}{\text{Total Time}} = \frac{28}{\frac{8}{5}} 
\]

To simplify the division of a fraction, we multiply by the reciprocal of the divisor:

\[ 
\frac{28}{\frac{8}{5}} = 28 \times \frac{5}{8} = \frac{28 \times 5}{8} = \frac{140}{8} 
\]

Simplify \(\frac{140}{8}\):

\[ 
\frac{140}{8} = 17.5 
\]

### Conclusion

Josiah's reading rate is \(17.5\) pages per hour.

Would you like more details or have any questions?

Here are 8 related questions you might find interesting:

1. How many pages would Josiah read in 2 hours at this rate?
2. If Josiah read for half an hour, how many pages would he have read?
3. What if Josiah increased his speed by 5 pages per hour, what would his new reading rate be?
4. If Josiah read at this rate for 3 days, reading 2 hours each day, how many pages would he read in total?
5. How long would it take Josiah to read a book with 350 pages at his current rate?
6. If another person reads 20 pages per hour, how many more pages does that person read than Josiah in 3 hours?
7. How many hours would Josiah need to read to complete a book with 500 pages?
8. What is the formula for converting a mixed number into an improper fraction?

**Tip:** When dividing by a fraction, multiply by its reciprocal for easier calculations.

Learn how to calculate Josiah's reading rate in pages per hour with a step-by-step solution. Josiah read 28 pages in 1 3/5 hours. Find out how many pages he reads per hour, including conversion of mixed numbers to improper fractions. Suitable for students in Grades 6-8.

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