Question

A clerk sold three pieces of one type to different customers. One piece was 4 3/8 yards long, another was 1 5/7 yards long, and the third was 13 3/4 yards long. What was the total length of that type of ribbon sold?

Answer 1

To determine the total length of ribbon sold to different customers

Step 1: Let’s assume,

The length of the first piece of ribbon be L1 = 4 3/8 yards long

$L_1\text{ = 4}\frac{3}{8}yards\text{ }$

Step 2: The length of the second piece of ribbon be L2 = 1 5/7yards long

$L_2\text{ = 1}\frac{5}{7}yards\text{ }$

Step 3: The length of the third piece of ribbon be L3 = 13 3/4 yards long

$L_3\text{ = 13}\frac{3}{4}yards$

Step 4: Therefore,

The total length of the type of ribbon sold was,

= L1 + L2 + L3

$\begin{gathered} =4\frac{3}{8}+1\frac{5}{7}+13\frac{3}{4} \\ =\frac{35}{8}+\frac{12}{7}+\frac{55}{4} \\ =\frac{245+96+770}{56} \\ =\frac{1111}{56} \\ =19\frac{47}{56} \end{gathered}$

Hence the total length of the type of ribbon sold was 19 47/56yards long