Write 2 different situations that match the expression 1 1/5 / 3. Find the value of that expression and explain what it means in the context of each situation.
Situation 1 ______________________________________________________________________________________________________________________________________________________________________________________________________
Situation 2 ________________________________________________________________________________________________________________________________________________________________________________________________________
+2440 | \(\frac{1\frac{1}{5}}{3}\) | Convert the numerator to an improper fraction. |
| \(\frac{\frac{5*1+1}{5}}{3}\) | |
| \(\frac{\frac{6}{5}}{3}\) | Multiply by 1/3 to the numerator and denominator to eliminate this complex fraction. |
| \(\frac{6}{5}*\frac{1}{3}\) | 6 and 3 have a common factor. Noticing this will make the calculations a tad easier. |
| \(\frac{2}{5}\) | |
Situation 1: Robert has \(1\frac{1}{5}\) cups of fresh popcorn kernels stored in a jar, but the capacity of his popcorn machine maker is a third of the amount of popcorn kernels at a time.
In this case, \(\frac{1\frac{1}{5}}{3}\) represents the capacity, in cups, of the popcorn machine maker.
Situation 2: Robert estimates that his homework for math, science, and history will take \(1\frac{1}{5}\) hours to complete. He plans to make this homework load more manageable by working on each subject for an equal amount of time.
In this scenario. \(\frac{1\frac{1}{5}}{3}\) hours represents the amount of time he plans to work on each subject.
+2440 | \(\frac{1\frac{1}{5}}{3}\) | Convert the numerator to an improper fraction. |
| \(\frac{\frac{5*1+1}{5}}{3}\) | |
| \(\frac{\frac{6}{5}}{3}\) | Multiply by 1/3 to the numerator and denominator to eliminate this complex fraction. |
| \(\frac{6}{5}*\frac{1}{3}\) | 6 and 3 have a common factor. Noticing this will make the calculations a tad easier. |
| \(\frac{2}{5}\) | |
Situation 1: Robert has \(1\frac{1}{5}\) cups of fresh popcorn kernels stored in a jar, but the capacity of his popcorn machine maker is a third of the amount of popcorn kernels at a time.
In this case, \(\frac{1\frac{1}{5}}{3}\) represents the capacity, in cups, of the popcorn machine maker.
Situation 2: Robert estimates that his homework for math, science, and history will take \(1\frac{1}{5}\) hours to complete. He plans to make this homework load more manageable by working on each subject for an equal amount of time.
In this scenario. \(\frac{1\frac{1}{5}}{3}\) hours represents the amount of time he plans to work on each subject.
