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Vanessa had 2 rolls of ribbon. Each roll had [tex]$5 \frac{3}{5}$[/tex] yards of ribbon. She cut it into 8 equal-sized strips. What was the length of each equal strip?

A. [tex]$11 \frac{1}{5}$[/tex] yards
B. [tex]$\frac{7}{10}$[/tex] yards
C. [tex]$1 \frac{1}{4}$[/tex] yards

Answer :

We first convert the mixed number [tex]$5\frac{3}{5}$[/tex] to an improper fraction. To do this, we multiply the whole number by the denominator and then add the numerator:

[tex]$$
5 \times 5 + 3 = 25 + 3 = 28.
$$[/tex]

So,

[tex]$$
5\frac{3}{5} = \frac{28}{5}.
$$[/tex]

Each roll is cut into 8 equal-size strips. To find the length of each strip, we divide the total yards in one roll by 8:

[tex]$$
\text{Length of each strip} = \frac{\frac{28}{5}}{8} = \frac{28}{5} \times \frac{1}{8} = \frac{28}{40}.
$$[/tex]

Simplify [tex]$\frac{28}{40}$[/tex] by dividing the numerator and denominator by 4:

[tex]$$
\frac{28 \div 4}{40 \div 4} = \frac{7}{10}.
$$[/tex]

Thus, the length of each strip is

[tex]$$
\frac{7}{10} \; \text{yards}.
$$[/tex]

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