There are [tex]\mathbf{\dfrac{7}{4} \ cup \ servings}[/tex] in 7/8 cups of peanut butter.
Division of word problems with improper fractions (i.e. numbers with numerators and denominators) requires a careful approach when solving them.
From the given information, we are to determine how many 1/2 cups of serving can be gotten from a 7/8 cup of peanut butter.
It means that we are going to divide 1/2 by 7/8.
Mathematically, we have:
[tex]\mathbf{=\dfrac{\dfrac{7}{8}}{\dfrac{1}{2}}}[/tex]
[tex]=\mathbf{\dfrac{7}{8} \times \dfrac{2}{1}}[/tex]
[tex]=\mathbf{\dfrac{7}{4} \times \dfrac{1}{1}}[/tex]
[tex]=\mathbf{\dfrac{7}{4} \ cup \ servings}[/tex]
Therefore, we can conclude that there are [tex]\mathbf{\dfrac{7}{4} \ cup \ servings}[/tex] in 7/8 cups of peanut butter.
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