Respuesta :

[tex]1 \frac{3}{4}[/tex]

Fractional division is fractional multiplication with the second fraction the reciprocal of itself. This means the problem can be written as [tex]\frac{7}{9}*\frac{9}{4}[/tex]. Fractional multiplication results in the multiplication of the numerators and denominators---in this case, [tex]\frac{7}{4}=1\frac{3}{4}[/tex]

Answer:

Option B) a = 1, b = 3, c = 4  

Step-by-step explanation:

We are given the following information in the question:

We are given an expression:

[tex]\displaystyle\frac{7}{9} \div \frac{4}{9} = a\frac{b}{c}[/tex]

The solving of the above expression can be done in the following manner:

[tex]\displaystyle\frac{7}{9} \div \frac{4}{9}\\\\\frac{7}{9}\times \frac{9}{4}\\\\\frac{7}{4} =\frac{(4\times 1) + 3}{4}= 1\frac{3}{4}[/tex]

Comparing the right side of the expression, we have,

[tex]a\displaystyle\frac{b}{c} = 1\frac{3}{4}[/tex]

Comparing, we get,

a = 1, b = 3, c = 4

Option B) s the correct option.