Rachel has 157 of her project done. If she can finish 457 of her project each day, how many more days will it take her to complete it?It will take her _________more days.
Q. Rachel has 157 of her project done. If she can finish 457 of her project each day, how many more days will it take her to complete it?It will take her _________more days.
Determine Remaining Fraction: Determine the fraction of the project Rachel has left to complete.Rachel has completed 157 of her project. To find out how much she has left to do, we subtract the completed fraction from the whole (1).Remaining fraction of the project = 1−(157)
Calculate Remaining Fraction: Calculate the remaining fraction of the project.Remaining fraction of the project = 1−(157)= (1515)−(157)= (1515−7)= 158
Determine Daily Completion Rate: Determine how much of the project Rachel can complete each day.Rachel can complete 457 of the project each day.
Calculate Number of Days: Calculate the number of days it will take Rachel to finish the remaining project.To find the number of days, divide the remaining fraction of the project by the daily completion rate.Number of days = (Remaining fraction of the project)/(Daily completion rate)Number of days = (8/15)/(7/45)
Perform Division: Perform the division to find the number of days.Number of days = (158)/(457)To divide by a fraction, we multiply by its reciprocal.Number of days = (158)×(745)
Simplify Multiplication: Simplify the multiplication to find the number of days.Number of days = (158)×(745)= (8×45)/(15×7)= \frac{360}{105}
Simplify Result: Simplify the result to get the number of days.Number of days = 105360= 724Rachel will need 724 days to complete her project.