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Which ratio is equivalent to [tex]$4:5$[/tex]?

A. [tex]\frac{10}{15}[/tex]
B. [tex]\frac{4}{10}[/tex]
C. [tex]\frac{18}{20}[/tex]
D. [tex]\frac{15}{8}[/tex]

Answer :

To determine which ratio is equivalent to [tex]$4:5$[/tex], we first note that
[tex]$$
4:5 = \frac{4}{5} = 0.8.
$$[/tex]

Now we compare this to each given option:

1. For the ratio
[tex]$$
\frac{10}{15} \approx 0.667,
$$[/tex]
we see that [tex]$0.667 \neq 0.8$[/tex].

2. For the ratio
[tex]$$
\frac{4}{10} = 0.4,
$$[/tex]
we have [tex]$0.4 \neq 0.8$[/tex].

3. For the ratio
[tex]$$
\frac{18}{20} = 0.9,
$$[/tex]
we have [tex]$0.9 \neq 0.8$[/tex].

4. For the ratio
[tex]$$
\frac{15}{8} \approx 1.875,
$$[/tex]
we have [tex]$1.875 \neq 0.8$[/tex].

None of the provided ratios have a value equal to [tex]$0.8$[/tex]. Therefore,

[tex]$$
\textbf{None of the options is equivalent to } 4:5.
$$[/tex]

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