lydia wrote 4_1/2 pages of her science report in one hour. what was her writing rate in pages per minute?
(2-4 rates ratios and proportions)
4 1/2/60 = x/1
Cross multiply and solve for x.
To find Lydia's writing rate in pages per minute, we need to convert the time from hours to minutes.
There are 60 minutes in an hour, so we can convert 1 hour to 60 minutes.
Next, we divide the number of pages (4 1/2) by the number of minutes (60) to find Lydia's writing rate in pages per minute.
First, convert 4 1/2 into an improper fraction:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
So, Lydia wrote 9/2 pages in 1 hour or 60 minutes.
Next, divide 9/2 by 60 to find her writing rate in pages per minute:
(9/2) / 60
To divide fractions, multiply the numerator of the first fraction by the reciprocal of the second fraction:
(9/2) * (1/60) = 9/120 = 3/40
Therefore, Lydia's writing rate is 3/40 pages per minute.
To find Lydia's writing rate in pages per minute, we need to divide the number of pages she wrote by the time it took her to write them.
First, let's convert 4-1/2 pages to a mixed number. We can write 4-1/2 as 9/2 because 4 times 2 equals 8 and adding 1 gives us 9.
Next, we need to convert one hour into minutes. Since there are 60 minutes in an hour, we multiply 1 by 60 to get 60 minutes.
Now we can calculate Lydia's writing rate:
Writing Rate = Number of Pages / Time
Writing Rate = 9/2 pages / 60 minutes
To divide a fraction by a whole number, we multiply the fraction by the reciprocal of the whole number. So, we can rewrite the equation as:
Writing Rate = (9/2 pages) x (1/60 minutes)
Next, we multiply the numerators (top numbers) together, and then multiply the denominators (bottom numbers) together:
Writing Rate = (9 x 1) / (2 x 60) pages/minute
Writing Rate = 9/120 pages/minute
Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 3:
Writing Rate = 3/40 pages/minute
Therefore, Lydia's writing rate in pages per minute is 3/40.