Answer:
7 days
Step-by-step explanation:
If you are using [tex]\frac{5}{6}[/tex] of a bag of coffee per day, and you have [tex]5 \frac{5}{6}[/tex] bags of coffee, you want to find how many times [tex]\frac{5}{6}[/tex] goes into [tex]5 \frac{5}{6}[/tex].
This can be found using division.
First let's convert [tex]5 \frac{5}{6}[/tex] into an improper fraction:
[tex]5 \frac{5}{6} = \frac{(6\cdot5) + 5}{6} = \frac{35}{6}[/tex]
Now we set up our division equation:
[tex]\frac{35}{6} \div \frac{5}{6}[/tex]
To divide, we multiply by the reciprocal, so:
[tex]\frac{35}{6} \div \frac{5}{6} = \frac{35}{6} \cdot \frac{6}{5} = \frac{210}{30}[/tex]
Dividing both the numerator and denominator of [tex]\frac{210}{30}[/tex] by 30 gets us [tex]\frac{7}{1}[/tex], which is just 7.
Hope this helped!
Answer:
7 days or 1 week
Step-by-step explanation:
First, know what the equation is. In this case, it's 5 5/6 divided by 5/6, since you need to divide the amount you have by how much you use every day to find out how many days it will last.
The equation is 5 5/6 ÷ 5/6, but since that is harder to solve, turn the 5 5/6 into an improper fraction: 35/6
Now, just solve 35/6 ÷ 5/6, so this means you have to flip your second number and multiply instead divide when dividing fractions, so the new equation is 35/6 ×6/5
That equals 210/30, and if you take out both the 0s (cancel them out), you get 21/3 and after simplifying that, you get 7/1, which is basically 7.
Roxanne's Cafe's coffee can last them 7 days or 1 week.
