Respuesta :

The evaluated expression needed is [tex]\frac{18}{5}[/tex] or  3[tex]\frac{3}{5}[/tex]

The expression that needs to be evaluated is

1 [tex]\frac{2}{5x}[/tex] + 3[tex]\frac{2}{3}[/tex] for x = [tex]\frac{1}{4}[/tex]

What is a mixed fraction?

A mixed fraction is defined as a fraction formed by combining a whole number and a fraction. For example, if 8 is a whole number and 1/2 is a fraction, then 8 1/2 is a mixed fraction.

We are being asked here to solve the mathematical equation by substituting the value of x for 1/4. If we go ahead and do the substitution we have;

1[tex]\frac{2}{5(0.25)}[/tex] + 3[tex]\frac{2}{3}[/tex]

where x = [tex]\frac{1}{4}[/tex] = 0.25

this is equal to

1[tex]\frac{2}{1.25}[/tex] + 3[tex]\frac{2}{3}[/tex] =

1 * 8/5 + 3 * 2/3

8/5 + 2 = 18/5 = 3[tex]\frac{3}{5}[/tex]

Learn more on mixed fractions here https://brainly.com/question/17388313

ACCESS MORE