Someone help please and thank you!

Question

asked Sep 4, 2020 120k views

1 Answer

Daniel Alexandrov · Answer 1 · 2020-09-10T18:06:51+0000

Answer:

$\boxed{11(1)/(3)}$

Explanation:

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

$= 2(5 )/( 6) / ( 1)/( 4)\\$

Convert the mixed number to an improper fraction

$2(5 )/( 6) / ( 1)/( 4) = (17)/(6)/( 1)/( 4)\\$

Invert the denominator and change division to multiplication

$(17)/(6)/( 1)/( 4) = (17)/(6)* ( 4)/( 1)\\$

Cancel the 2s

$(17)/(6)* ( 4)/( 1) = (17)/(3)* ( 2)/( 1)\\$

Multiply numerators and denominators.

$(17)/(3)* ( 2)/( 1) = ( 34)/( 3)\\$

Convert the improper fraction to a mixed number.

$( 34)/( 3) = 11(1)/(3)\\$

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