Answer:
No, his answer is not correct.
Step-by-step explanation:
Given expression,
[tex]\frac{2}{3}\div 3[/tex]
[tex]=\frac{\frac{2}{3}}{3}[/tex]
[tex]=\frac{2}{3\times 3}[/tex]
[tex]=\frac{2}{9}[/tex]
Thus, his answer is not correct.
By model :
Draw number line from 0 to 1 in 3 equal section,
Then divided each of those sections into 3 equal parts,
We get,
[tex]\frac{2}{3}\div 3=\frac{2}{9}[/tex]
Mark's answer is incorrect because he divided the number line into 2 equal parts instead of dividing the number line into 3 equal parts.
Given the expression solved by mark using the number line expressed as:
[tex]\frac{2}{3} \div 3[/tex]
First, we need to simplify the given expression to be sure that the mark is correct as shown:
[tex]=\frac{2}{3} \div 3\\= \frac{2}{3} \times \frac{1}{3}\\=\frac{(2\times 1)}{3\times 3}\\=\frac{2}{9}[/tex]
Hence Mark's answer is incorrect because he divided the number line into 2 equal parts instead of dividing the number line into 3 equal parts.
