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Noam had a length of 13(1)/(3)cm of ribbon and cut 3(1)/(3) equal-sized strips the full width of the ribbon. How long is each whole strip? ◻ cm

Noam had a length of 1313 cm13\frac{1}{3}\,\text{cm} of ribbon and cut 3133\frac{1}{3} equal-sized strips the full width of the ribbon.\newline How long is each whole strip?\newline□ cm\square \,\text{cm}

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Q. Noam had a length of 1313 cm13\frac{1}{3}\,\text{cm} of ribbon and cut 3133\frac{1}{3} equal-sized strips the full width of the ribbon.\newline How long is each whole strip?\newline□ cm\square \,\text{cm}
  1. Convert to Improper Fractions: Noam has 13(13)13\left(\frac{1}{3}\right) cm of ribbon and needs to cut it into 3(13)3\left(\frac{1}{3}\right) equal strips. First, convert the mixed numbers to improper fractions.\newline13(13)13\left(\frac{1}{3}\right) cm = (13×3+1)/3\left(13 \times 3 + 1\right)/3 cm = 403\frac{40}{3} cm\newline3(13)3\left(\frac{1}{3}\right) strips = (3×3+1)/3\left(3 \times 3 + 1\right)/3 strips = 103\frac{10}{3} strips
  2. Find Length of Each Strip: Now, divide the total length of the ribbon by the number of strips to find the length of each strip. Length of each strip = 403\frac{40}{3} cm / 103\frac{10}{3} strips
  3. Simplify Division of Fractions: Simplify the division of fractions by multiplying by the reciprocal of the divisor.\newlineLength of each strip = (403) cm×(310)(\frac{40}{3}) \, \text{cm} \times (\frac{3}{10}) strips
  4. Multiply Numerators and Denominators: Multiply the numerators and the denominators.\newlineLength of each strip = (40×3)/(3×10)(40 \times 3) / (3 \times 10) cm\newlineLength of each strip = 120/30120 / 30 cm
  5. Simplify Final Answer: Simplify the fraction to get the final answer.\newlineLength of each strip = 4 cm4\,\text{cm}

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