Respuesta :

Answer:

k = 13

Step-by-step explanation:

[tex]k - 4 \frac{3}{4} = 8 \frac{1}{4} [/tex]

To solve first change the mixed number to an improper fraction

That's

[tex]4 \frac{3}{4} = \frac{19}{4} [/tex]

[tex]8 \frac{1}{4} = \frac{33}{4} [/tex]

So we now have

[tex]k - \frac{19}{4} = \frac{33}{4} [/tex]

Move the fraction to the right side of the equation

That's

[tex]k = \frac{33}{4} + \frac{19}{4} [/tex]

Since they have the same denominator we can add them directly

We have

[tex] \frac{33}{4} + \frac{19}{4} = \frac{52}{4} = 13[/tex]

we have the final answer as

k = 13

Hope this helps you

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