Respuesta :
Operations with mixed numbers
Mixed numbers are expressed as integers followed by an improper fraction
The number
[tex]7\frac{4}{5}[/tex]can be transformed into an improper fraction as follows:
[tex]7\frac{4}{5}=7+\frac{4}{5}=\frac{7\cdot5+4}{5}=\frac{39}{5}[/tex]Now transform the next fraction:
[tex]1\frac{11}{5}=1+\frac{11}{5}=\frac{5+11}{5}=\frac{16}{5}[/tex]Now we have both numbers as fractions, we proceed to divide them. Dividing is similar to multiply by the reciprocal of the denominator.
We'll divide the numbers as follows:
[tex]\frac{\frac{39}{5}}{\frac{16}{5}}=\frac{39}{5}\cdot\frac{5}{16}=\frac{39}{16}[/tex]The last result came when simplifying by 5
Answer: 39/16
