Respuesta :

we know that
the number [tex]9.35[/tex]
is equal to 
[tex]9+0.35 [/tex]
and
[tex]0.35[/tex]  is equal to
[tex]35/100[/tex]
divide by 5 both members
[tex] \frac{35}{100} = \frac{7}{20} [/tex]

therefore

the number [tex]9.35[/tex]  is equal to  [tex]9 \frac{7}{20} [/tex]

The correct answer is:

9 7/20.

Explanation:

Reading this decimal, we would say "nine and thirty-five hundredths." This means we can write it as a fraction in the form

9 35/100.

To simplify the fraction, we look for common factors in the numerator and denominator. The numerator ends in 5 and the denominator ends in 0, so both are divisible by 5:

(35÷5)/(100÷5) = 7/20

From this point, the only numbers that are factors of 7 are 1 and 7; while 1 is a factor of everything, 7 will not go into 20, so this does not simplify further.

Thus we have 9 7/20.