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rarrC ก
khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-rates/e/rate_problems_1?classCode=DVFGV.
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My assignments
7th grade
Robert climbed 775 steps in 
12(1)/(2) minutes.
How many steps did he average per minute?
COURSE: TTH GRADE > UNIT 2
Lesson 1: Rate problems with steps per minute fractions
Due Mar 23, 11:59 PM
Rates with fractions
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C \rightarrow \mathrm{C} \newlinekhanacademy.org/math/cc-seventh-grade-math/cc7-7th-fractions-decimals/cc7-7th-rates/e/rate_problems_1?classCode=DVFGV.\newlineuncommonschools.org bookmarks\newline(i) We've updated our Cookie Notice. Please review it now.\newlineCourses\newlineSearch\newlineKhan Academy\newlineDonate c3 c^{3} \newlinepeyton.j.fleming\newlineMy assignments\newline77th grade\newlineRobert climbed 775775 steps in 1212 12 \frac{1}{2} minutes.\newlineHow many steps did he average per minute?\newlineCOURSE: TTH GRADE > UNIT 22\newlineLesson 11: Rate problems with steps per minute fractions\newlineDue Mar 2323, 1111:5959 PM\newlineRates with fractions\newlineNot started\newlineStuck? Review related articles/videos or use a hint.\newlineReport a problem

Full solution

Q. C \rightarrow \mathrm{C} \newlinekhanacademy.org/math/cc-seventh-grade-math/cc7-7th-fractions-decimals/cc7-7th-rates/e/rate_problems_1?classCode=DVFGV.\newlineuncommonschools.org bookmarks\newline(i) We've updated our Cookie Notice. Please review it now.\newlineCourses\newlineSearch\newlineKhan Academy\newlineDonate c3 c^{3} \newlinepeyton.j.fleming\newlineMy assignments\newline77th grade\newlineRobert climbed 775775 steps in 1212 12 \frac{1}{2} minutes.\newlineHow many steps did he average per minute?\newlineCOURSE: TTH GRADE > UNIT 22\newlineLesson 11: Rate problems with steps per minute fractions\newlineDue Mar 2323, 1111:5959 PM\newlineRates with fractions\newlineNot started\newlineStuck? Review related articles/videos or use a hint.\newlineReport a problem
  1. Identify Total Steps and Time: Identify the total number of steps and the total time taken. Robert climbed 775775 steps in 121212\frac{1}{2} minutes.
  2. Convert Mixed Number: Convert the mixed number to an improper fraction to make the calculation easier. 12(12)12\left(\frac{1}{2}\right) minutes is the same as (12×2+1)/2=252\left(12 \times 2 + 1\right)/2 = \frac{25}{2} minutes.
  3. Calculate Rate: Calculate the rate by dividing the total number of steps by the total time in minutes.\newlineRate=Total StepsTotal Time\text{Rate} = \frac{\text{Total Steps}}{\text{Total Time}}\newlineRate=775 steps(252) minutes\text{Rate} = \frac{775 \text{ steps}}{(\frac{25}{2}) \text{ minutes}}
  4. Perform Division: Perform the division to find the steps per minute.\newlineRate = 775775 steps / (25/2)(25/2) minutes = 775775 steps ×\times (2/25)(2/25) minutes1^{-1} = 31×231 \times 2 steps per minute\newlineRate = 6262 steps per minute