Respuesta :

Answer: 45 and 3/8

Step-by-step explanation:

8 and 1/4 = 8.25

8.25/d = 2/11

Multiply 2 x d and 8.25 x 11

2d = 90.75

Divide 90.75 by 2 = 45.375

.375 = 3/8

You can do multiplication of d and then division of 2 and then multiplication of 11 on both side. Know that something divided by itself gives 1.

The fraction form of d is  [tex]d = \dfrac{363}{8}[/tex]

Given that:

  • The equation [tex]\dfrac{8\dfrac{1}{4} }{d} = \dfrac{2}{11}[/tex]

To find:

Value of d in fraction form

Evaluation of value of d in fraction form:

[tex]\dfrac{8\dfrac{1}{4} }{d} = \dfrac{2}{11}\\\\\\\dfrac{\dfrac{8 \times 4 + 1}{4}}{d} = \dfrac{2}{11}\\\\\text{Multiplying 11d on both sides}\\\\\dfrac{33}{4}\times 11 = 2d\\\\\text{Dividing by 2 on both sides}\\\dfrac{363}{8} = d\\\\d = \dfrac{363}{8}[/tex]

Thus, the value of d in fraction is given by: [tex]d = \dfrac{363}{8}[/tex]

Learn more here about fractions here:

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