Question

Charles reads quickly he reads 1 3/7 pages every 2/3 of a minute. how many pages does he read per minute?

Answer 1

To find the number of pages Charles reads per minute, divide the fraction of a minute it takes him to read one page, which is approximately 12/25 of a minute. Therefore, he reads approximately 25/12 pages per minute.

Step-by-step explanation:

To find the number of pages Charles reads per minute, we need to find the fraction of a minute it takes him to read one page, and then take the reciprocal of that fraction.

From the problem, we know that Charles reads 1 3/7 pages every 2/3 of a minute. To find the fraction of a minute it takes him to read one page, we divide 2/3 by 1 3/7.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

By simplifying the fractions and performing the division, we find that it takes Charles approximately 12/25 of a minute to read one page. Taking the reciprocal of this fraction gives us the number of pages he reads per minute: 25/12 pages per minute.

Answer 2

First, I'd suggest finding a common denominator for your two fractions. Since 7 and 3 both go into 21, let's use that.

2/3 becomes 14/21, because 3 x 7 = 21, and 2 x 7 = 14
1 3/7 becomes 1 9/21, because 7 x 3 = 21, and 3 x 3 = 9

Now, to make the rest of it a bit easier, let's turn the fractions into decimals.

14/21 is 0.66
1 9/21 is 1.43

We can then turn this into a ratio, and then write an equation to solve for how many pages Charles reads per minute.

1.43 pages per 0.66 minutes, or 1.43/0.66

The equation to solve for this would then be

`(1.43)/(0.66) = (p)/(1)`
where p is the number of pages.

To solve for p, we simply cross multiply and divide.
1.43 x 1 = 0.66 x p
1.43 = 0.66 x p
1.43 ÷ 0.66 = p
p = 2.17

Charles reads 2.17 pages per minute.