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Someone help please and thank you!

Someone help please and thank you!-example-1

1 Answer

4 votes

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.

User Daniel Alexandrov
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