Question

Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed grapes in each. How many bags of grapes will Sjon have?

PLS answer in mixed number faction

Answer 1

`15(3)/(4)` bags

Explanation:

We know,

the number of cups of red grapes mixed by Sjon =
`3(3)/(8)`; and

the number of cups of green grapes mixed by Sjon =
`4(1)/(2)`

So we will add these fractions and then divide by
`(1)/(2)` to get the total number of bags of grapes Sjon will have.

`3(3)/(8) + 4(1)/(2)`

=
`(27)/(8) + (9)/(2)`

=
`(54+74)/(16)`

=
`(126)/(16) = 7(7)/(8)` cups

Divide
`7(7)/(8)` by
`(1)/(2)`:

`7(7)/(8) = (126)/(16)` ÷
`(1)/(2)`

=
`(126)/(16)`×
`(2)/(1)` =
`(63)/(4) = 15(3)/(4)`

Therefore, Sjan will have
`15(3)/(4)` bags of grapes.

Answer 2

3 3/8 + 4 1/2 =

get a common denominator

3 3/8 + 4 4/8 = 7 7/8

7 7/8 divided by 1/2

change the mixed number to an improper fraction

(8*7+7)/8 = 63/8

63/8 divided by 1/2

copy dot flip

63/8 * 2/1

63/4 =

15 3/4 bags of grapes