Respuesta :

The result is [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

In this problem, we are asked to find how many 7/8 cup servings are in 1/2 of a cup of juice.

Mathematically, this is equivalent to divide 1/2 by 7/8. So we can write:

[tex]\frac{1/2}{7/8}[/tex]

This can be rewritten as a multiplication by reversing the denominator:

[tex]\frac{1}{2}\cdot \frac{8}{7}[/tex]

Now we can perform the multiplication of both the numerator and the denominator:

[tex]\frac{1\cdot 8}{2\cdot 7}=\frac{8}{14}[/tex]

And simplifying (dividing by 2),

[tex]\frac{8}{14}=\frac{4}{7}[/tex]

Learn more about  fractions:

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Answer:

4/7

Step-by-step explanation:

a /b ÷  c /d =  ad /bc

1 /2 ÷  7 /8 =  (1)(8)

                (2)(7) =  8 /14 =  4 /7