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, using the full width of the ribbon.

How long is each whole strip?

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

Answer :

Certainly! To find out how long each strip is, we need to divide the total length of the ribbon by the number of strips.

1. Identify the Total Length of Ribbon:
- The ribbon Noam has is [tex]\(13 \frac{1}{3}\)[/tex] cm long. This can be expressed as a mixed number and converted to an improper fraction for simplicity:
- [tex]\(13 \frac{1}{3} = \frac{40}{3}\)[/tex] cm (since [tex]\(13 \times 3 + 1 = 40\)[/tex])

2. Identify the Number of Strips:
- Noam cuts the ribbon into [tex]\(3 \frac{1}{3}\)[/tex] strips, which can also be converted to an improper fraction:
- [tex]\(3 \frac{1}{3} = \frac{10}{3}\)[/tex] strips (since [tex]\(3 \times 3 + 1 = 10\)[/tex])

3. Calculate the Length of Each Strip:
- To find the length of each strip, divide the total length of the ribbon by the number of strips:
- So, the calculation is:

[tex]\[
\text{Length of each strip} = \frac{\frac{40}{3}}{\frac{10}{3}} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{40}{10} = 4 \text{ cm}
\][/tex]

Therefore, each of the equal-sized strips is 4 cm long.

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