Answer :
Sure, let's solve this step by step.
Noam had a ribbon of length [tex]\( 13 \frac{1}{3} \)[/tex] cm, which is a mixed number. We can convert this to an improper fraction for easier calculation:
[tex]\[ 13 \frac{1}{3} = 13 + \frac{1}{3} = \frac{39}{3} + \frac{1}{3} = \frac{40}{3} \text{ cm} \][/tex]
Next, Noam cut the ribbon into [tex]\( 3 \frac{1}{3} \)[/tex] equal-sized strips. We also convert this mixed number into an improper fraction:
[tex]\[ 3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \text{ strips} \][/tex]
To find the length of each strip, we will 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]
When dividing fractions, we multiply by the reciprocal:
[tex]\[ \frac{40}{3} \div \frac{10}{3} = \frac{40}{3} \times \frac{3}{10} \][/tex]
Now, multiply the numerators together and the denominators together:
[tex]\[ \frac{40 \times 3}{3 \times 10} = \frac{120}{30} \][/tex]
Finally, simplify the fraction:
[tex]\[ \frac{120}{30} = 4 \text{ cm} \][/tex]
Thus, the length of each whole strip is [tex]\( 4 \text{ cm} \)[/tex].
Noam had a ribbon of length [tex]\( 13 \frac{1}{3} \)[/tex] cm, which is a mixed number. We can convert this to an improper fraction for easier calculation:
[tex]\[ 13 \frac{1}{3} = 13 + \frac{1}{3} = \frac{39}{3} + \frac{1}{3} = \frac{40}{3} \text{ cm} \][/tex]
Next, Noam cut the ribbon into [tex]\( 3 \frac{1}{3} \)[/tex] equal-sized strips. We also convert this mixed number into an improper fraction:
[tex]\[ 3 \frac{1}{3} = 3 + \frac{1}{3} = \frac{9}{3} + \frac{1}{3} = \frac{10}{3} \text{ strips} \][/tex]
To find the length of each strip, we will 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]
When dividing fractions, we multiply by the reciprocal:
[tex]\[ \frac{40}{3} \div \frac{10}{3} = \frac{40}{3} \times \frac{3}{10} \][/tex]
Now, multiply the numerators together and the denominators together:
[tex]\[ \frac{40 \times 3}{3 \times 10} = \frac{120}{30} \][/tex]
Finally, simplify the fraction:
[tex]\[ \frac{120}{30} = 4 \text{ cm} \][/tex]
Thus, the length of each whole strip is [tex]\( 4 \text{ cm} \)[/tex].