Respuesta :

Step-by-step explanation:

[tex]lcm \: = 21(7 \times 3) \\ \frac{4 \times 3}{7 \times 3} + \frac{1 \times 7}{ 3 \times 7} \\ simplify \\ \frac{12}{21} + \frac{7}{21} \\ \\ \frac{12 + 7}{21} \\ \\ \frac{19}{21} \\ answer \: \frac{19}{21} [/tex]

(4/7) + (1/3) = 0.9047619047619 which = 19/21

now list the factors of the numerator and the denominator

19 = 1
—-
21 = 1; 3; 7

They both have a common factor of 1.

Divide 19 by its common factor
19/1 = 1

Divide 21 by its common factor
21/1 = 21

So the simplest form is 19/21
Hope that helps!! :)