Respuesta :
Answer:
Option 2 - a=1, b=3 and c=4
Step-by-step explanation:
Given : Expression [tex]\frac{7}{9}\div\frac{4}{9}=a\frac{b}{c}[/tex]
To find : Which values of a, b, and c represent the answer in simplest form ?
Solution :
Solving the expression first and then convert into mixed fraction.
[tex]\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{\frac{7}{9}}{\frac{4}{9}}[/tex]
[tex]\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{7\times 9}{9\times 4}[/tex]
[tex]\dfrac{7}{9}\div\dfrac{4}{9}=\dfrac{7}{4}[/tex]
Writing [tex]\frac{7}{4}[/tex] into mixed fraction by dividing the number,
[tex]\dfrac{7}{9}\div\dfrac{4}{9}=1\dfrac{3}{4}[/tex]
On comparing, a=1, b=3 and c=4.
Therefore, option 2 is correct.
