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

Convert to Improper Fractions: Convert the mixed numbers to improper fractions to make the division easier. 13(1/3) cm can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing the result over the original denominator. 13(1/3) = (13 * 3 + 1)/3 = (39 + 1)/3 = 40/3 cm 3(1/3) can be converted in the same way: 3(1/3) = (3 * 3 + 1)/3 = (9 + 1)/3 = 10/3Find Length of Each Strip: Divide the total length of the ribbon by the number of strips to find the length of each strip. The total length of the ribbon is 40/3 cm, and Noam cut it into 10/3 equal-sized strips. To find the length of each strip, divide 40/3 cm by 10/3. (40/3) ÷ (10/3) = (40/3) * (3/10) = 40/10 = 4 cmCheck Calculation: Check the calculation for any mathematical errors. We multiplied the reciprocal of 10/3 to 40/3, which simplifies to 40/10, and that equals 4. There are no mathematical errors in this calculation.

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GCF and LCM: word problems

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Q. Noam had a length of

13 \frac{1}{3} \mathrm{~cm}

of ribbon and cut

3 \frac{1}{3}

equal-sized strips the full width of the ribbon.

\newline

How long is each whole strip?

\newline

\mathrm{cm}

Convert to Improper Fractions: Convert the mixed numbers to improper fractions to make the division easier. $\newline$ $13\left(\frac{1}{3}\right)$ cm can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing the result over the original denominator. $\newline$ $13\left(\frac{1}{3}\right) = \left(13 \times 3 + 1\right)/3 = \left(39 + 1\right)/3 = \frac{40}{3}$ cm $\newline$ $3\left(\frac{1}{3}\right)$ can be converted in the same way: $\newline$ $3\left(\frac{1}{3}\right) = \left(3 \times 3 + 1\right)/3 = \left(9 + 1\right)/3 = \frac{10}{3}$
Find Length of Each Strip: Divide the total length of the ribbon by the number of strips to find the length of each strip. $\newline$ The total length of the ribbon is $\frac{40}{3}$ cm, and Noam cut it into $\frac{10}{3}$ equal-sized strips. $\newline$ To find the length of each strip, divide $\frac{40}{3}$ cm by $\frac{10}{3}$ . $\newline$ $(\frac{40}{3}) \div (\frac{10}{3}) = (\frac{40}{3}) \times (\frac{3}{10}) = \frac{40}{10} = 4$ cm
Check Calculation: Check the calculation for any mathematical errors. $\newline$ We multiplied the reciprocal of $\frac{10}{3}$ to $\frac{40}{3}$ , which simplifies to $\frac{40}{10}$ , and that equals $4$ . There are no mathematical errors in this calculation.