Question

Chad has a rope that is 15 yards long. How many pieces of rope measuring 5/7
of a yard can he divide his rope into?

A close up of a rope arranged in a circle form rolled up together.
A.
21
B.
35
C.
28
D.
14

Answer 1

To determine how many pieces of rope measuring \( \frac{5}{7} \) of a yard Chad can divide his 15-yard rope into, you can set up the equation:

\[
\text{Number of pieces} = \frac{\text{Total length of rope}}{\text{Length of each piece}} = \frac{15}{\frac{5}{7}}
\]

To divide by a fraction, you can multiply by its reciprocal:

\[
\frac{15}{\frac{5}{7}} = 15 \times \frac{7}{5} = \frac{15 \times 7}{5} = \frac{105}{5} = 21
\]

Therefore, Chad can divide his rope into **21** pieces of \( \frac{5}{7} \) of a yard.

The correct answer is **A. 21**.