Question

Kevin has a $2\frac{6}{9}$ feet long stick. He cuts it into equal pieces of length $\frac{3}{9}$ feet to get 8 pieces. Which of the following equations does not represent the given statements?.

• A. $8\times \frac{3}{9}=\frac{24}{9}$
• B. $\frac{3}{9}÷\frac{24}{9}=8$
• C. $\frac{24}{9}÷\frac{3}{9}=8$
• D. $8\times \frac{3}{9}=2\frac{6}{9}$

Answer 1

The correct option is B $\frac{3}{9}÷\frac{24}{9}=8$

Length of the stick $=2\frac{6}{9}ft=\frac{24}{9}ft$

Length of the equal pieces after cutting the stick $=\frac{3}{9}ft$
Number of pieces = 8

Length of the stick = length of each piece × number of pieces
$=\frac{3}{9}\times 8=\frac{3\times 8}{9}=\frac{24}{9}$

So, the multiplication equation is: $\frac{3}{9}\times 8=\frac{24}{9}$ or $8\times \frac{3}{9}=2\frac{6}{9}$

The division equation is: $\frac{24}{9}÷8=\frac{3}{9}$ or $\frac{24}{9}÷\frac{3}{9}=8$

Hence, option D is incorrect.