Question

Lucy used 3 3/4 cups of sugar for her lemonade stand. She divided the

sugar, in equal amounts, into 6 pitchers. How much sugar went into each
pitcher?

Answer 1

`(5)/(8)`

Explanation:

3
`(3)/(4)` ÷ 6 Change 3
`(3)/(4)` into an improper fraction

Another name for 1 is
`(4)/(4)` so another name for 3 is
`(4)/(4)` +
`(4)/(4)` +
`(4)/(4)` or
`(12)/(4)`

`(12)/(4)` +
`(3)/(4)` =
`(15)/(4)` So we now have

`(15)/(4)` ÷ 6 or

`(15)/(4)` ÷
`(6)/(1)` If I use the common denominator of 4, I can divide straight across.

`(15)/(4)` ÷
`(24)/(4)` Now divide across and we get

`((15)/(24) )/((4)/(4) )` =
`((15)/(24) )/(1)`=
`(15)/(24)` Divide the top and bottom by 3 to simplify to
`(5)/(8)`

This is not the most traditional way to solve, but I think it is more intuitive.