Is -(59)/(3)+(4)/(63) rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (c) It can be either rational or irrational

Evaluate first term: Evaluate the first term -(59)/(3). -(59)/(3) = -19.67 (approximation for understanding, but we will use the exact fraction for calculations) This is a rational number because it can be expressed as a fraction of two integers.Evaluate second term: Evaluate the second term (4)/(63). (4)/(63) can be simplified to (1)/(63) * 4 = (1)/(63) * (2)/(2) = (2)/(63) * 2 = (4)/(126) = (1)/(31.5) (approximation for understanding, but we will use the exact fraction for calculations) This is also a rational number because it can be expressed as a fraction of two integers.Combine rational numbers: Combine the two rational numbers by finding a common denominator and adding them. Since both -(59)/(3) and (4)/(63) are rational, their sum will also be rational. However, we do not need to actually find the common denominator and add them to determine if the sum is rational or irrational.Conclude rational or irrational: Conclude whether the expression is rational or irrational. Since the sum of two rational numbers is always rational, the expression -(59)/(3)+(4)/(63) is rational.

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Is
-(59)/(3)+(4)/(63) rational or irrational?
Choose 1 answer:
(A) Rational
(B) Irrational
(c) It can be either rational or irrational

Is $-\frac{59}{3}+\frac{4}{63}$ 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{59}{3}+\frac{4}{63}

rational or irrational?

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

\newline

Evaluate first term: Evaluate the first term $-\frac{59}{3}$ . $\newline$ $-\frac{59}{3} = -19.67$ (approximation for understanding, but we will use the exact fraction for calculations) $\newline$ This is a rational number because it can be expressed as a fraction of two integers.
Evaluate second term: Evaluate the second term $(4)/(63)$ . $\newline$ $(4)/(63)$ can be simplified to $(1)/(63) \times 4 = (1)/(63) \times (2)/(2) = (2)/(63) \times 2 = (4)/(126) = (1)/(31.5)$ (approximation for understanding, but we will use the exact fraction for calculations) $\newline$ This is also a rational number because it can be expressed as a fraction of two integers.
Combine rational numbers: Combine the two rational numbers by finding a common denominator and adding them. $\newline$ Since both $-(\frac{59}{3})$ and $(\frac{4}{63})$ are rational, their sum will also be rational. $\newline$ However, we do not need to actually find the common denominator and add them to determine if the sum is rational or irrational.
Conclude rational or irrational: Conclude whether the expression is rational or irrational. $\newline$ Since the sum of two rational numbers is always rational, the expression $-\frac{59}{3}+\frac{4}{63}$ is rational.