Respuesta :

Answer:

x = 5/2 or 2.5

Step-by-step explanation:

1/4x = 5/8

To find the value of X;

We multiply both sides by 4

1/4 x × 4 = 5/8 × 4

 x = 5/2 or 2.5

To solve the problem we must know about fractions.

Part 1

Fraction

A fraction is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25

The value of x is [tex]\bold{\dfrac{5}{2}}[/tex] or 2.5.

Part 2

Given to us,

  • [tex]\bold{\dfrac{1}{4} x = \dfrac{5}{8}}[/tex]

Solution

To remove the denominator from the x side, we multiply both sides of the equation with the denominator of x.

[tex]{\dfrac{1}{4}\times x \times 4\ =\ \dfrac{5}{8} \times 4}[/tex]

Canceling the values we get,

[tex]1 \times x = \dfrac{5}{2}[/tex]

[tex]x = \dfrac{5}{2}[/tex]

Thus, the value of x is  [tex]\bold{\dfrac{5}{2}}[/tex] ,further we can simplify by dividing 5 by 2 and we will get 2.5 as the result.

Hence, the value of x is [tex]\bold{\dfrac{5}{2}}[/tex] or 2.5.

Learn more about fractions:

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