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Which of the following is a fraction that is equivalent to [tex]\(\frac{3}{5}\)[/tex]?

A. [tex]\(\frac{18}{25}\)[/tex]
B. [tex]\(\frac{20}{25}\)[/tex]
C. [tex]\(\frac{15}{25}\)[/tex]


Sagot :

To determine which fraction is equivalent to [tex]\( \frac{3}{5} \)[/tex], we compare each of the given options to [tex]\( \frac{3}{5} \)[/tex].

1. First, let's compare [tex]\( \frac{18}{25} \)[/tex] to [tex]\( \frac{3}{5} \)[/tex].

We can convert both fractions to have a common denominator
```
\frac{3}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25}
```

2. Now, let's compare [tex]\( \frac{20}{25} \)[/tex] to [tex]\( \frac{3}{5} \)[/tex].

Similarly, converting [tex]\( \frac{3}{5} \)[/tex] to a common denominator of 25:
```
\frac{3}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25}
```

3. Lastly, let's compare [tex]\( \frac{15}{25} \)[/tex] to [tex]\( \frac{3}{5} \)[/tex].

Again, converting [tex]\( \frac{3}{5} \)[/tex] to a common denominator of 25:
```
\frac{3}{5} = \frac{3 \times 5}{5 \times 5} = \frac{15}{25}
```

Upon comparing:
- [tex]\( \frac{15}{25} = \frac{15}{25} \)[/tex]

Thus, it is evident that [tex]\( \frac{15}{25} \)[/tex] is equivalent to [tex]\( \frac{3}{5} \)[/tex].

So, the answer is:

[tex]\( \frac{15}{25} \)[/tex]

Therefore, option 3 is the correct answer.