Question

Carol brought 500 yards of curling ribbon she used 156 yards on a package for her mother in 3 5/8 yd a package for her daughter how many yards of ribbon did Carol use in all

Answer 1

5 11/24 yards

Step-by-step explanation:

To know the total number of yards, we need to add 1 5/6 to 3 5/8.

So, first, we will rewrite the mixed numbers as fractions, so:

`\begin{gathered} 1(5)/(6)=((1*6)+5)/(6)=(6+5)/(6)=(11)/(6) \\ 3(5)/(8)=((3*8)+5)/(8)=(24+5)/(8)=(29)/(8) \end{gathered}`

Now, we can add the fractions as:

`(11)/(6)+(29)/(8)=(11(8)+6(29))/(6(8))=(88+174)/(48)=(262)/(48)=(131)/(24)`

Finally, 131/24 as a mixed number is:

`(131)/(24)=5(11)/(24)`

Because when we divide 131 by 24, we get 5 as a quotient and 11 as a remainder.

So, the answer is 5 11/24 yards