Is (3)/(14)*(7)/(71) rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

Define Rational Number: Define what a rational number is. A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, where p and q are integers and q is not zero.Analyze Given Expression: Analyze the given expression. The given expression is (3)/(14)*(7)/(71). Both 3 and 7 are integers, and both 14 and 71 are integers that are not zero.Multiply Numerators and Denominators: Multiply the numerators and denominators. (3 * 7) / (14 * 71) = 21 / 994Check Result for Rational Number: Check if the result is a rational number. Since 21 and 994 are both integers and 994 is not zero, the fraction 21/994 represents a rational number.Answer Question Prompt: Answer the question prompt. The expression (3)/(14)*(7)/(71) is a rational number because it can be expressed as a fraction of two integers with a non-zero denominator.

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Is
(3)/(14)*(7)/(71) rational or irrational?
Choose 1 answer:
(A) Rational
(B) Irrational
(C) It can be either rational or irrational

Is $(\frac{3}{14})\cdot(\frac{7}{71})$ rational or irrational? $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational

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Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. Is

(\frac{3}{14})\cdot(\frac{7}{71})

rational or irrational?

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

\newline

Define Rational Number: Define what a rational number is. $\newline$ A rational number is a number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q$ is not zero.
Analyze Given Expression: Analyze the given expression. $\newline$ The given expression is $(\frac{3}{14})\cdot(\frac{7}{71})$ . Both $3$ and $7$ are integers, and both $14$ and $71$ are integers that are not zero.
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ $(3 \times 7) / (14 \times 71) = 21 / 994$
Check Result for Rational Number: Check if the result is a rational number. $\newline$ Since $21$ and $994$ are both integers and $994$ is not zero, the fraction $\frac{21}{994}$ represents a rational number.
Answer Question Prompt: Answer the question prompt. $\newline$ The expression $(\frac{3}{14})\cdot(\frac{7}{71})$ is a rational number because it can be expressed as a fraction of two integers with a non-zero denominator.