Question

Luis has 3 1/3 yards of ribbon to use for two separate presents, one of which is very large. If Luis uses 2 1/2 yards to decorate the larger present, which of the following represents the number of yards of ribbon, r, that Luis will have left to use for the second presen

Answer 1

`(5)/(6)` yards

Explanation:

Luis had
`3(1)/(3)` yards of ribbon in total to use for two presents. For the first present Luis used
`2(1)/(2)` yards of the ribbon.

Since she had
`3(1)/(3)` yards in total and she used
`2(1)/(2)` yards from it, the amount of ribbon left for second present can be obtained by taking out(subtracting)
`2(1)/(2)` yards from
`3(1)/(3)`.

So, the number of yards of ribbon left for second present will be:

`3(1)/(3)-2(1)/(2)\\\\ =(10)/(3)-(5)/(2)\\\\ =(10(2)-5(3))/(2 * 3)\\\\ =(20-15)/(6)\\\\ =(5)/(6)`

This means Luis had
`(5)/(6)` yards of ribbon for the second present.