Lucia has 18 pieces of ribbon that she uses to decorate presents.

One ribbon's length is 5/6
of a yard. How many yards of ribbon does Lucia have? Choose the correct choices from the drop-down lists below.

5,6,10,12,15,18
and
0,1,2,3,4,5
sixths yards

1 answer

To find out how many yards of ribbon Lucia has in total, you can multiply the number of pieces of ribbon by the length of each piece.

Lucia has 18 pieces of ribbon, and each piece is \( \frac{5}{6} \) of a yard long.

So we calculate the total length of ribbon in yards:

\[ \text{Total length} = \text{Number of pieces} \times \text{Length of each piece} \]

\[ \text{Total length} = 18 \times \frac{5}{6} \]

Now perform the multiplication:

\[ = \frac{18 \times 5}{6} = \frac{90}{6} = 15 \text{ yards} \]

Thus, Lucia has 15 yards of ribbon.

Now we need to express this in terms of sixths of a yard. Since 1 yard is equal to 6 sixths, we convert 15 yards:

\[ 15 \text{ yards} = 15 \times 6 \text{ sixths} = 90 \text{ sixths} \]

However, you were looking for how many yards and how many sixths. Since 15 yards is already a whole number, it can be expressed as:

  • 15 yards
  • 0 sixths yards

So, the answer is:

15 and 0 sixths yards.