Respuesta :

Answer:

A 7/9

Explanation:

Given the expression:

[tex]\frac{7}{12}\div\frac{3}{4}[/tex]

To simplify, the first step is to change the division sign to multiplication sign as follows:

[tex]=\frac{7}{12}\times\frac{4}{3}[/tex]

Next, we multiply the numerators and denominators likewise.

[tex]\begin{gathered} =\frac{7\times4}{12\times3}\text{ (We write 12=3 x 4)} \\ =\frac{7\times4}{4\times3\times3}\text{ (Cancel out 4 in the numerator and denominator)} \\ =\frac{7}{3\times3} \\ =\frac{7}{9} \end{gathered}[/tex]

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