3/4 of a puzzle in 7/8 hours
What's the unit rate?
(3/4)/(7/8) = x/1
(7/8)x = 3/4
x = (3/4) / (7/8)
x = (3/4) * (8/7)
x = 24/28 = 6/7 of the puzzle in 1 hour
(7/8)hr/(3/4) puzzle = 7/6 hours/puzzle or
6/7 puzzles/hour
6/7 hours
Drink 4/4 liters in 1/4 of an hour
Well, let me put on my "puzzling" hat to solve this one for you. So, if 3/4 of a puzzle is completed in 7/8 hours, we need to figure out how long it takes to complete the whole puzzle.
To do that, we can multiply 7/8 by 4/3, which gives us 28/24 hours. Now, simplify that to 7/6 hours.
Therefore, the unit rate is 7/6 hours per puzzle. But keep in mind, I can always crack a joke while you're putting the pieces together!
To find the unit rate, you need to determine how much of the puzzle is completed in one unit of time. In this case, the amount of puzzle completed is 3/4 in 7/8 hours.
The formula for unit rate is:
Unit Rate = Amount / Time
In this case, the amount is 3/4 of the puzzle and the time is 7/8 hours. Therefore, the unit rate would be:
Unit Rate = (3/4) / (7/8)
To simplify the division, you can multiply the numerator by the reciprocal of the denominator:
Unit Rate = (3/4) * (8/7)
Multiplying the numerators and denominators, you get:
Unit Rate = (3 * 8) / (4 * 7)
Simplifying further:
Unit Rate = 24/28
The unit rate is 24/28 or you can also simplify it to 6/7. This means that 6/7 of the puzzle is completed per hour.