Answer :
Sure, let's work through this problem step by step:
Noam had a length of [tex]\( 13 \frac{1}{3} \)[/tex] cm of ribbon. He cut this ribbon into [tex]\( 3 \frac{1}{3} \)[/tex] equal-sized strips. We need to find out the length of each strip.
1. Convert mixed numbers to improper fractions:
- For the length of the ribbon: [tex]\( 13 \frac{1}{3} \)[/tex]
[tex]\[
13 \frac{1}{3} = \frac{13 \times 3 + 1}{3} = \frac{39 + 1}{3} = \frac{40}{3}
\][/tex]
- For the number of strips: [tex]\( 3 \frac{1}{3} \)[/tex]
[tex]\[
3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
\][/tex]
2. Set up the division of fractions to find the length of each strip:
[tex]\[
\text{Length of Each Strip} = \frac{\text{Total Length of Ribbon}}{\text{Number of Strips}} = \frac{\frac{40}{3}}{\frac{10}{3}}
\][/tex]
3. Divide the fractions by multiplying by the reciprocal:
[tex]\[
\text{Length of Each Strip} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
So, each strip is 4 cm long.
Noam had a length of [tex]\( 13 \frac{1}{3} \)[/tex] cm of ribbon. He cut this ribbon into [tex]\( 3 \frac{1}{3} \)[/tex] equal-sized strips. We need to find out the length of each strip.
1. Convert mixed numbers to improper fractions:
- For the length of the ribbon: [tex]\( 13 \frac{1}{3} \)[/tex]
[tex]\[
13 \frac{1}{3} = \frac{13 \times 3 + 1}{3} = \frac{39 + 1}{3} = \frac{40}{3}
\][/tex]
- For the number of strips: [tex]\( 3 \frac{1}{3} \)[/tex]
[tex]\[
3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{9 + 1}{3} = \frac{10}{3}
\][/tex]
2. Set up the division of fractions to find the length of each strip:
[tex]\[
\text{Length of Each Strip} = \frac{\text{Total Length of Ribbon}}{\text{Number of Strips}} = \frac{\frac{40}{3}}{\frac{10}{3}}
\][/tex]
3. Divide the fractions by multiplying by the reciprocal:
[tex]\[
\text{Length of Each Strip} = \frac{40}{3} \times \frac{3}{10} = \frac{40 \times 3}{3 \times 10} = \frac{120}{30} = 4
\][/tex]
So, each strip is 4 cm long.