Question

How far is Abraham's house from Scarlet's house? Please provide an answer and show or explain your calculations. Abraham's house is 3 1/6 blocks to the South Scarlet's house is 4 1/3 blocks to the North

Answer 1

Abraham's house is
`7(1)/(2)` blocks far from Scarlet's house.

Explanation:

Abraham's house is
`3(1)/(6)` blocks to the South and Scarlet's house is
`4(1)/(3)` blocks to the North.

As the two houses are in opposite direction, so for finding the total distance between two houses, we need to add the two distances.

`3(1)/(6)+4 (1)/(3) \\ \\ =(19)/(6)+ (13)/(3) \\ \\ =(19)/(6)+ (13*2)/(3*2) \\ \\ =(19)/(6)+ (26)/(6)= (19+26)/(6)= (45)/(6)= (15)/(2)=7 (1)/(2)`

So, Abraham's house is
`7(1)/(2)` blocks far from Scarlet's house.