Answer :
Sure, let's work through this problem step by step:
1. Understand the problem: Noam has a ribbon that is [tex]\(13 \frac{1}{3}\)[/tex] cm long. He cuts the ribbon into [tex]\(3 \frac{1}{3}\)[/tex] equal-sized strips.
2. Convert mixed numbers to improper fractions:
- Convert the total length of the ribbon:
[tex]\[
13 \frac{1}{3} = \frac{40}{3}
\][/tex]
- Convert the number of strips:
[tex]\[
3 \frac{1}{3} = \frac{10}{3}
\][/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:
[tex]\[
\frac{40}{3} \div \frac{10}{3} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
4. Conclude: Therefore, each strip is 4 cm long.
Each step involves basic arithmetic operations and an understanding of how to manipulate fractions. The result is that each strip of ribbon is 4 cm long.
1. Understand the problem: Noam has a ribbon that is [tex]\(13 \frac{1}{3}\)[/tex] cm long. He cuts the ribbon into [tex]\(3 \frac{1}{3}\)[/tex] equal-sized strips.
2. Convert mixed numbers to improper fractions:
- Convert the total length of the ribbon:
[tex]\[
13 \frac{1}{3} = \frac{40}{3}
\][/tex]
- Convert the number of strips:
[tex]\[
3 \frac{1}{3} = \frac{10}{3}
\][/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:
[tex]\[
\frac{40}{3} \div \frac{10}{3} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
4. Conclude: Therefore, each strip is 4 cm long.
Each step involves basic arithmetic operations and an understanding of how to manipulate fractions. The result is that each strip of ribbon is 4 cm long.