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Which fraction shows the ratio 16:200 as a fraction simplified form

A 4/50
B 50/4
C 2/25
D 25/2

Respuesta :

Answer:

C. [tex]\frac{2}{25}[/tex]

Step-by-step explanation:

We have been given a ratio 16:200 and we are asked to find the ratio as a fraction in simplified form.

Since ratio compares two numbers or two quantities that are measured with the same unit.

Upon converting our ratio into fraction we will get,

[tex]\frac{16}{200}[/tex]

Let us cancel out greatest common factor from numerator and denominator of our fraction to simplify it.

[tex]\frac{16}{200}=\frac{8*2}{25*8}[/tex]

After cancelling out 8 we will get,

[tex]\frac{2}{25}[/tex]

Therefore, our fraction simplifies to [tex]\frac{2}{25}[/tex] and option C is the correct choice.

Answer:

A. [tex] \frac{2} {25} [/tex]

Step-by-step explanation:

We are given the ratio 16 : 200 and we are to write it as a fraction in its most simplified form.

For that, first of all we will write it in a fraction form:

[tex] \frac {16} {200} [/tex]

Then we will divide 16 and 200 by 4 to get:

[tex] \frac {4}{50} [/tex]

Further dividing 4 and 50 by 2 to get:

[tex] \frac{2} {25} [/tex]

Therefore, [tex] \frac{2} {25} [/tex] is the simplified fraction form of the ratio 16:200.

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