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

Evaluate Expression: Evaluate -(59)/(3). -(59)/(3) = -59/3 This is a division of two integers, where 3 is not zero.Simplify Fraction: Evaluate (4)/(63). (4)/(63) can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 1 in this case. So, it remains (4)/(63).Combine Expressions: Combine the two evaluated expressions. -59/3 + 4/63 To add these fractions, we need a common denominator.Find LCD: Find the least common denominator (LCD) for 3 and 63. The LCD of 3 and 63 is 63.Convert to Common Denominator: Convert -59/3 to a fraction with a denominator of 63. -59/3 = (-59 * 21) / (3 * 21) = -1239/63Add Fractions: Now add the two fractions with the common denominator. -1239/63 + 4/63 = (-1239 + 4) / 63Perform Addition: Perform the addition in the numerator. -1239 + 4 = -1235Write Result: Write the result as a single fraction. -1235/63 This is a division of two integers, where 63 is not zero.Identify Number Type: Identify whether -1235/63 is a rational or irrational number. Since both -1235 and 63 are integers, and 63 is not zero, -1235/63 is a rational number.

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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 Expression: Evaluate $-\frac{59}{3}$ . $-\frac{59}{3} = -\frac{59}{3}$ This is a division of two integers, where $3$ is not zero.
Simplify Fraction: Evaluate $(4)/(63)$ . $\newline$ $(4)/(63)$ can be simplified by dividing both numerator and denominator by their greatest common divisor, which is $1$ in this case. So, it remains $(4)/(63)$ .
Combine Expressions: Combine the two evaluated expressions. $\newline$ $-\frac{59}{3} + \frac{4}{63}$ $\newline$ To add these fractions, we need a common denominator.
Find LCD: Find the least common denominator (LCD) for $3$ and $63$ . The LCD of $3$ and $63$ is $63$ .
Convert to Common Denominator: Convert $-\frac{59}{3}$ to a fraction with a denominator of $63$ . $\newline$ $-\frac{59}{3} = \left(-59 \times 21\right) / \left(3 \times 21\right) = -\frac{1239}{63}$
Add Fractions: Now add the two fractions with the common denominator. $\newline$ $-\frac{1239}{63} + \frac{4}{63} = \frac{(-1239 + 4)}{63}$
Perform Addition: Perform the addition in the numerator. $\newline$ $-1239 + 4 = -1235$
Write Result: Write the result as a single fraction. $\newline$ $-\frac{1235}{63}$ $\newline$ This is a division of two integers, where $63$ is not zero.
Identify Number Type: Identify whether $-1235/63$ is a rational or irrational number. $\newline$ Since both $-1235$ and $63$ are integers, and $63$ is not zero, $-1235/63$ is a rational number.