Answer :
We start with the total length of the ribbon, which is given as
[tex]$$13\frac{1}{3} \text{ cm}.$$[/tex]
Step 1: Convert the mixed number to an improper fraction. For the total length,
[tex]$$13\frac{1}{3} = \frac{13 \times 3 + 1}{3} = \frac{40}{3} \text{ cm}.$$[/tex]
Step 2: The ribbon is cut into
[tex]$$3\frac{1}{3}$$[/tex]
equal strips. Similarly, convert this mixed number to an improper fraction:
[tex]$$3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}.$$[/tex]
Step 3: To find the length of each strip, divide the total length by the number of strips:
[tex]$$\text{Length of each strip} = \frac{\frac{40}{3}}{\frac{10}{3}}.$$[/tex]
Step 4: Dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]$$\frac{\frac{40}{3}}{\frac{10}{3}} = \frac{40}{3} \times \frac{3}{10}.$$[/tex]
Step 5: Simplify the expression by canceling the common factor (3):
[tex]$$\frac{40}{3} \times \frac{3}{10} = \frac{40}{10} = 4.$$[/tex]
Thus, each whole strip is
[tex]$$4 \text{ cm}.$$[/tex]
The final answer is:
[tex]$$\boxed{4 \text{ cm}}.$$[/tex]
[tex]$$13\frac{1}{3} \text{ cm}.$$[/tex]
Step 1: Convert the mixed number to an improper fraction. For the total length,
[tex]$$13\frac{1}{3} = \frac{13 \times 3 + 1}{3} = \frac{40}{3} \text{ cm}.$$[/tex]
Step 2: The ribbon is cut into
[tex]$$3\frac{1}{3}$$[/tex]
equal strips. Similarly, convert this mixed number to an improper fraction:
[tex]$$3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}.$$[/tex]
Step 3: To find the length of each strip, divide the total length by the number of strips:
[tex]$$\text{Length of each strip} = \frac{\frac{40}{3}}{\frac{10}{3}}.$$[/tex]
Step 4: Dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]$$\frac{\frac{40}{3}}{\frac{10}{3}} = \frac{40}{3} \times \frac{3}{10}.$$[/tex]
Step 5: Simplify the expression by canceling the common factor (3):
[tex]$$\frac{40}{3} \times \frac{3}{10} = \frac{40}{10} = 4.$$[/tex]
Thus, each whole strip is
[tex]$$4 \text{ cm}.$$[/tex]
The final answer is:
[tex]$$\boxed{4 \text{ cm}}.$$[/tex]
