Respuesta :

Answer:

d = 12 and n = 26

Step-by-step explanation:

Given that the fractions are equivalent then

[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{d}[/tex] ( cross- multiply )

2d = 24 ( divide both sides by 2 )

d = 12

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and

[tex]\frac{2}{3}[/tex] = [tex]\frac{n}{39}[/tex] ( cross- multiply )

3n = 78 ( divide both sides by 3 )

n = 26

The fractions represent the same amount or value given that they are

equivalent.

  • The value of d is 12
  • The value of n is 26

Reasons:

Equivalent fractions are fractions that have equal values, therefore;

[tex]\displaystyle \frac{2}{3} = \frac{8}{d} =\frac{n}{39}[/tex]

Which by cross multiplying gives;

2 × d = 8 × 3 = 24

Therefore;

[tex]\displaystyle d = \frac{24}{2} = \mathbf{12}[/tex]

d = 12

Similarly, we have;

[tex]\displaystyle \frac{2}{3} =\frac{n}{39}= \frac{8}{d}[/tex]

Which gives;

2 × 39 = 3 × n

Therefore;

[tex]\displaystyle n = \frac{2 \times 39}{3} = \mathbf{26}[/tex]

n = 26

Learn more about equivalent fractions here:

https://brainly.com/question/13489708