Respuesta :

Answer:

Yes, the third option (40%)

Step-by-step explanation:

Given the fraction with numerator 2 and denominator 5:

[tex]\frac{2}{5}[/tex]

You can convert it from this fraction form  to a decimal number by dividing the numerator 2 by the denominator 5, obtaining the decimal number:

[tex]\frac{2}{5}=0.4[/tex]

Finally, to rewrite this decimal number to percentage, you need to multiply it by 100. Then:

[tex]0.4*100=40\%[/tex]

Therefore, there is a percentage that matches the fraction [tex]\frac{2}{5}[/tex]. This percentage is 40%, which corresponds to the third option.

Answer:

Yes

[tex] \frac{2}{5} \: matches \: 40\%[/tex]

Step-by-step explanation :

To change a fraction to percentage, multiply the fraction by 100%

This implies that

[tex] \frac{2}{5} \times 100\%[/tex]
We cancel out the common factors to obtain,

[tex]2 \times 20\%[/tex]

This simplifies to


[tex] = 40\%[/tex]

Hence

[tex] \frac{2}{5} \: matches \: 40\%[/tex]