a green bottle of water holds 8 3/5 oz of water a Blue bottle holds 8 6/7 oz of water right and inequality that compares the fractions and explain which bottle holds more.

Respuesta :

As given by the question

There are given that the value:

[tex]\begin{gathered} \text{Green bottle: 8}\frac{3}{5}=\frac{43}{5} \\ \text{Blue bottle: 8}\frac{6}{7}=\frac{62}{7} \end{gathered}[/tex]

Now,

We can write both color of bottle:

For the green bottle:

[tex]\begin{gathered} \frac{43}{5}=\frac{43}{5}\times\frac{7}{7} \\ =\frac{301}{35}\ldots(1) \end{gathered}[/tex]

And,

For the blue bottle:

[tex]\begin{gathered} \frac{62}{7}=\frac{62}{7}\times\frac{5}{5} \\ =\frac{310}{35}\ldots(2) \end{gathered}[/tex]

Then,

Copare the value of both of the bottle:

So,

[tex]\begin{gathered} \frac{301}{35}<\frac{310}{35} \\ 301<310 \end{gathered}[/tex]

Hence, the answer is the blue bottle will hold more.