Answer:
Juan's expression is not correct because 1 3/8 equals 11/8 and John used 12/8
[tex]5\frac{1}{2}\ cup\ servings[/tex]
Step-by-step 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
[tex]1\frac{3}{8}:\frac{1}{4}[/tex]
but first
Convert mixed number to an improper fraction
[tex]1\frac{3}{8}=1+\frac{3}{8}=\frac{1*8+3}{8}=\frac{11}{8}[/tex]
substitute in the expression above
[tex]\frac{11}{8}:\frac{1}{4}=\frac{11}{2}[/tex]
Convert to mixed number
[tex]\frac{11}{2}=\frac{10}{2}+\frac{1}{2}=5\frac{1}{2}\ cup\ servings[/tex]
Juan's expression is not correct because 1 3/8 equals 11/8 and John used 12/8
