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

Convert to Improper Fraction: To find the length of each strip, we need to divide the total length of the ribbon by the number of strips. Total length of ribbon = 13 1/3 Number of strips = 3 1/3 First, we need to convert the mixed numbers to improper fractions to make the division easier.Convert Mixed Numbers: Convert 13 1/3 to an improper fraction. 13 1/3 = (13 × 3 + 1)/3 = (39 + 1)/3 = 40/3Divide Total Length: Convert 3 1/3 to an improper fraction. 3 1/3 = (3 × 3 + 1)/3 = (9 + 1)/3 = 10/3Simplify Result: Now, divide the total length of the ribbon by the number of strips. (40/3) ÷ (10/3) = (40/3) × (3/10) = 40/10 because when dividing fractions, you multiply by the reciprocal of the divisor.Final Strip Length: Simplify 40/10. 40/10 = 4 So, each strip is 4 units long.

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Noam had a length of $13 \frac{1}{3}$ of ribbon and cut $3 \frac{1}{3}$ equal-sized strips the full width of the ribbon. How long is each whole strip?

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Q. Noam had a length of

13 \frac{1}{3}

of ribbon and cut

3 \frac{1}{3}

equal-sized strips the full width of the ribbon. How long is each whole strip?

Convert to Improper Fraction: To find the length of each strip, we need to divide the total length of the ribbon by the number of strips. $\newline$ Total length of ribbon = $13 \frac{1}{3}$ $\newline$ Number of strips = $3 \frac{1}{3}$ $\newline$ First, we need to convert the mixed numbers to improper fractions to make the division easier.
Convert Mixed Numbers: Convert $13 \frac{1}{3}$ to an improper fraction. $\newline$ $13 \frac{1}{3} = (13 \times 3 + 1)/3 = (39 + 1)/3 = \frac{40}{3}$
Divide Total Length: Convert $3 \frac{1}{3}$ to an improper fraction. $\newline$ $3 \frac{1}{3} = (3 \times 3 + 1)/3 = (9 + 1)/3 = \frac{10}{3}$
Simplify Result: Now, divide the total length of the ribbon by the number of strips. $\newline$ $(40/3) \div (10/3) = (40/3) \times (3/10) = 40/10$ because when dividing fractions, you multiply by the reciprocal of the divisor.
Final Strip Length: Simplify $40/10$ . $\newline$ $40/10 = 4$ $\newline$ So, each strip is $4$ units long.