Question

Roxanne's Cafe uses 5/6 of a bag of coffee every day. How many days will 5 5/6 bags of coffee last?

Answer 1

7 days or 1 week

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.

Answer 2

7 days

Explanation:

If you are using
`(5)/(6)` of a bag of coffee per day, and you have
`5 (5)/(6)` bags of coffee, you want to find how many times
`(5)/(6)` goes into
`5 (5)/(6)`.

This can be found using division.

First let's convert
`5 (5)/(6)` into an improper fraction:

`5 (5)/(6) = ((6\cdot5) + 5)/(6) = (35)/(6)`

Now we set up our division equation:

`(35)/(6) / (5)/(6)`

To divide, we multiply by the reciprocal, so:

`(35)/(6) / (5)/(6) = (35)/(6) \cdot (6)/(5) = (210)/(30)`

Dividing both the numerator and denominator of
`(210)/(30)` by 30 gets us
`(7)/(1)`, which is just 7.

Hope this helped!