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The reason why the fraction -3 1/8 is a rational number is because its a fraction, it does not repeat, and also its a negative fraction.

Reason: Irrational numbers are more likely numbers with the pie equation for ex: √144 but it doesn't repeat which makes it a rational number.

Just remember that irrational numbers repeat.

Hope this helps.
MrRoyal

Rational numbers can be represented as a fraction of two integers

[tex]\mathbf{ -\frac{25}8}[/tex] is a rational number, because it can be represented as a fraction of integers

The number is given as:

[tex]\mathbf{n = -3\frac 18}[/tex]

Express as an improper fraction

[tex]\mathbf{n = -\frac{8 \times 3 + 1}8}[/tex]

[tex]\mathbf{n = -\frac{24 + 1}8}[/tex]

[tex]\mathbf{n = -\frac{25}8}[/tex]

The above equation means that:

[tex]\mathbf{-3\frac 18 = -\frac{25}8}[/tex]

When a number can be represented as a fraction of integers, the such number is a rational number.

Hence, [tex]\mathbf{ -\frac{25}8}[/tex] is a rational number

Read more about rational numbers at:

https://brainly.com/question/15815501

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