Question

Someone help please and thank you!

Answer 1

Answer:

$\boxed{11\frac{1}{3}}$

Step-by-step explanation:

$\text{Number of stones} = \frac{\text{Length of path}}{ \text{ Length of each stone}}$

$= 2\frac{5 }{ 6} \div \frac{ 1}{ 4}$

Convert the mixed number to an improper fraction

$2\frac{5 }{ 6} \div \frac{ 1}{ 4} = \frac{17}{6}\div\frac{ 1}{ 4}$

Invert the denominator and change division to multiplication

$\frac{17}{6}\div\frac{ 1}{ 4} = \frac{17}{6}\times \frac{ 4}{ 1}$

Cancel the 2s

$\frac{17}{6}\times \frac{ 4}{ 1} = \frac{17}{3}\times \frac{ 2}{ 1}$

Multiply numerators and denominators.

$\frac{17}{3}\times \frac{ 2}{ 1} = \frac{ 34}{ 3}$

Convert the improper fraction to a mixed number.

$\frac{ 34}{ 3} = 11\frac{1}{3}$

It takes $\boxed{11\frac{1}{3}}$stones to complete the path.