Question

Juan wants to know how many 1/4 cup servings are in 1 3/8 cups of juice he uses the expression 12/8 divided bu 1/4 to find the answer explain what's wrong with juan's expression and find the correct solution answer

Answer 1

Juan's expression is not correct because 1 3/8 equals 11/8 and John used 12/8

`5(1)/(2)\ cup\ servings`

Explanation:

we know that

To find out how many 1/4 cup servings are in 1 3/8 cups of juice, divide 1 3/8 cups of juice by 1/4 cup servings

so

`1(3)/(8):(1)/(4)`

but first

Convert mixed number to an improper fraction

`1(3)/(8)=1+(3)/(8)=(1*8+3)/(8)=(11)/(8)`

substitute in the expression above

`(11)/(8):(1)/(4)=(11)/(2)`

Convert to mixed number

`(11)/(2)=(10)/(2)+(1)/(2)=5(1)/(2)\ cup\ servings`

Juan's expression is not correct because 1 3/8 equals 11/8 and John used 12/8