Question

question 11 (1 point)

you have a piece of wood that is \\(4\frac{1}{5}\text{ m}\\) long. you need to cut it into pieces that are \\(\frac{3}{10}\text{ m}\\) long.

how many pieces can you make?

question 12 (1 point)

sarah, tom, and alex, are competing in a \\(12\text{ km}\\) walking race. their speeds are recorded in the table.

\

$$\begin{tabular}{|c|c|} \\hline racer & speed \\\\ \\hline sarah & \\(4\\frac{1}{4}\\text{ km/h}\\) \\\\ \\hline tom & \\(5\\frac{1}{4}\\text{ km/h}\\) \\\\ \\hline \\end{tabular}$$

Explanation:

Convert mixed number to improper fraction

To find the number of pieces, we first convert the total length of the wood from a mixed number to an improper fraction.
Using the Fraction Division concept:

$$ 4 \frac{1}{5} = \frac{4 \times 5 + 1}{5} = \frac{21}{5}\text{ m} $$

Divide total length by piece length

We divide the total length of the wood by the length of each piece to find the number of pieces.
Using the Fraction Division concept:

$$ \text{Number of pieces} = \frac{21}{5} \div \frac{3}{10} $$

Calculate the final quotient

To divide by a fraction, we multiply by its reciprocal.
Using the Fraction Division concept:

$$ \frac{21}{5} \times \frac{10}{3} = \frac{21 \times 10}{5 \times 3} = \frac{210}{15} = 14 $$

Answer:

Question 11

You have a piece of wood that is \(4 \frac{1}{5}\) m long. You need to cut it into pieces that are \(\frac{3}{10}\) m long.

How many pieces can you make?
<blank>14</blank>