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Answer :
Sure, let's break this down step by step to understand how we can determine the length of each strip.
1. Understand the Given Information:
- Noam has a length of ribbon that is [tex]\(13 \frac{1}{3}\)[/tex] cm.
- Noam cut the ribbon into [tex]\(3 \frac{1}{3}\)[/tex] equal-sized strips.
2. Convert Mixed Numbers to Improper Fractions:
- Convert [tex]\(13 \frac{1}{3}\)[/tex] cm to an improper fraction:
[tex]\[
13 \frac{1}{3} = 13 + \frac{1}{3} = \frac{39}{3} + \frac{1}{3} = \frac{40}{3}
\][/tex]
- Convert [tex]\(3 \frac{1}{3}\)[/tex] to an improper fraction:
[tex]\[
3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}
\][/tex]
3. Calculate 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]\[
\text{Length of each strip} = \frac{\frac{40}{3}}{\frac{10}{3}}
\][/tex]
- Simplifying the division of fractions by multiplying by the reciprocal:
[tex]\[
\frac{\frac{40}{3}}{\frac{10}{3}} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
So, the length of each whole strip is [tex]\(4\)[/tex] cm.
1. Understand the Given Information:
- Noam has a length of ribbon that is [tex]\(13 \frac{1}{3}\)[/tex] cm.
- Noam cut the ribbon into [tex]\(3 \frac{1}{3}\)[/tex] equal-sized strips.
2. Convert Mixed Numbers to Improper Fractions:
- Convert [tex]\(13 \frac{1}{3}\)[/tex] cm to an improper fraction:
[tex]\[
13 \frac{1}{3} = 13 + \frac{1}{3} = \frac{39}{3} + \frac{1}{3} = \frac{40}{3}
\][/tex]
- Convert [tex]\(3 \frac{1}{3}\)[/tex] to an improper fraction:
[tex]\[
3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3}
\][/tex]
3. Calculate 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]\[
\text{Length of each strip} = \frac{\frac{40}{3}}{\frac{10}{3}}
\][/tex]
- Simplifying the division of fractions by multiplying by the reciprocal:
[tex]\[
\frac{\frac{40}{3}}{\frac{10}{3}} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
So, the length of each whole strip is [tex]\(4\)[/tex] cm.
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