Respuesta :

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

How to simplify a rational number

Rational numbers are real numbers of the form n/m, where n, m ∈ [tex]\mathbb{Z}[/tex] and n ≠ 0. Rational numbers are in lowest terms whether they cannot be reduced. A rational number is simplified by applying the following property:

[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]     (1)

Where c is the common multiplier.

Now we proceed to simplify the given rational number, whose common multiplier is 2:

[tex]\frac{14}{16} = \frac{7}{8}[/tex]

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

Remark

The statement is poorly formatted: Write 14/16 in lowest terms.

To learn more on rational numbers: https://brainly.com/question/17450097

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