College

Noam had a length of [tex]$13 \frac{1}{3} \, \text{cm}$[/tex] of ribbon and cut it into [tex]$3 \frac{1}{3}$[/tex] equal-sized strips the full width of the ribbon.

How long is each whole strip?

[tex]\square \, \text{cm}[/tex]

Answer :

Certainly! Let's solve this problem step-by-step to find out how long each whole strip of ribbon is.

1. Understand the Total Length of Ribbon:
Noam has a total length of [tex]\(13 \frac{1}{3}\)[/tex] cm of ribbon. This is a mixed number and we can express it as an improper fraction or a decimal. In decimal form, [tex]\(13 \frac{1}{3} = 13 + \frac{1}{3} = 13.333...\)[/tex]

2. Understand How Many Strips:
The ribbon is cut into [tex]\(3 \frac{1}{3}\)[/tex] equal-sized strips. Again, as a decimal, this is [tex]\(3 \frac{1}{3} = 3 + \frac{1}{3} = 3.333...\)[/tex]

3. Find the Length of Each Strip:
To find the length of each strip, we divide the total length of the ribbon by the number of strips.

[tex]\[
\text{Length of each strip} = \frac{13.333...}{3.333...}
\][/tex]

4. Calculate the Result:
When you perform the division, you find that the length of each strip is 4 cm.

Thus, each whole strip of ribbon is 4 cm long.

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