What is the sign of 39(11)/(13)+(-41(1)/(13))" ? " Choose 1 answer: (A) Positive B) Negative (C) Neither positive nor negative-the sum is zero.

Rephrase the Question: First, let's rephrase the ＂What is the sign of the sum 39(11/13) + (-41(1/13))?＂Calculate First Term: Now, let's calculate the first term of the sum: 39 times 11/13. 39(11/13) = (39 * 11) / 13Calculate Second Term: Perform the multiplication in the numerator: 39 * 11. 39 * 11 = 429Add Terms: Now, divide 429 by 13 to simplify the fraction. 429 / 13 = 33Subtract 3: Next, let's calculate the second term of the sum: -41 times 1/13. -41(1/13) = (-41 * 1) / 13Subtract 1/13: Perform the multiplication in the numerator: -41 * 1. -41 * 1 = -41Now, divide -41 by 13 to simplify the fraction. -41 / 13 = -3.15384615385, which simplifies to -3 and 1/13 or -3(1/13).Finally, add the two results together: 33 + (-3(1/13)). 33 + (-3(1/13)) = 33 - 3 - 1/13Subtract 3 from 33. 33 - 3 = 30Now, subtract 1/13 from 30. 30 - 1/13 is slightly less than 30, but since we are only interested in the sign, we can see that the result is positive.

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What is the sign of

39(11)/(13)+(-41(1)/(13))" ? "
Choose 1 answer:
(A) Positive
B) Negative
(C) Neither positive nor negative-the sum is zero.

What is the sign of $\newline$ $\frac{39(11)}{13} + \left(-\frac{41(1)}{13}\right)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) Positive $\newline$ (B) Negative $\newline$ (C) Neither positive nor negative-the sum is zero.

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Full solution

Q. What is the sign of

\newline

\frac{39(11)}{13} + \left(-\frac{41(1)}{13}\right)

\newline

Choose

1

answer:

\newline

(A) Positive

\newline

(B) Negative

\newline

Rephrase the Question: First, let's rephrase the ＂What is the sign of the sum $39\left(\frac{11}{13}\right) + (-41\left(\frac{1}{13}\right))?$ ＂
Calculate First Term: Now, let's calculate the first term of the sum: $39 \times \frac{11}{13}$ . $\newline$ $39\left(\frac{11}{13}\right) = \frac{(39 \times 11)}{13}$
Calculate Second Term: Perform the multiplication in the numerator: $39 \times 11$ . $\newline$ $39 \times 11 = 429$
Add Terms: Now, divide $429$ by $13$ to simplify the fraction. $\newline$ $429 / 13 = 33$
Subtract $3$ : Next, let's calculate the second term of the sum: $-41$ times $\frac{1}{13}$ . $\newline$ $-41(\frac{1}{13}) = (\frac{-41 \times 1}{13})$
Subtract $\frac{1}{13}$ : Perform the multiplication in the numerator: $-41 \times 1$ . $\newline$ $-41 \times 1 = -41$
Subtract $\frac{1}{13}$ : Perform the multiplication in the numerator: $-41 \times 1$ . $\newline$ $-41 \times 1 = -41$ Now, divide $-41$ by $13$ to simplify the fraction. $\newline$ $-41 / 13 = -3.15384615385$ , which simplifies to $-3$ and $\frac{1}{13}$ or $-3(\frac{1}{13})$ .
Subtract $\frac{1}{13}$ : Perform the multiplication in the numerator: $-41 \times 1$ . $-41 \times 1 = -41$ Now, divide $-41$ by $13$ to simplify the fraction. $-41 / 13 = -3.15384615385$ , which simplifies to $-3$ and $\frac{1}{13}$ or $-3(\frac{1}{13})$ .Finally, add the two results together: $33 + (-3(\frac{1}{13}))$ . $-41 \times 1$ $0$
Subtract $\frac{1}{13}$ : Perform the multiplication in the numerator: $-41 \times 1$ . $-41 \times 1 = -41$ Now, divide $-41$ by $13$ to simplify the fraction. $-41 / 13 = -3.15384615385$ , which simplifies to $-3$ and $\frac{1}{13}$ or $-3\left(\frac{1}{13}\right)$ .Finally, add the two results together: $33 + (-3\left(\frac{1}{13}\right))$ . $-41 \times 1$ $0$ Subtract $-41 \times 1$ $1$ from $-41 \times 1$ $2$ . $-41 \times 1$ $3$
Subtract $\frac{1}{13}$ : Perform the multiplication in the numerator: $-41 \times 1$ . $-41 \times 1 = -41$ Now, divide $-41$ by $13$ to simplify the fraction. $-41 / 13 = -3.15384615385$ , which simplifies to $-3$ and $\frac{1}{13}$ or $-3(\frac{1}{13})$ .Finally, add the two results together: $33 + (-3(\frac{1}{13}))$ . $-41 \times 1$ $0$ Subtract $-41 \times 1$ $1$ from $-41 \times 1$ $2$ . $-41 \times 1$ $3$ Now, subtract $\frac{1}{13}$ from $-41 \times 1$ $5$ . $-41 \times 1$ $6$ is slightly less than $-41 \times 1$ $5$ , but since we are only interested in the sign, we can see that the result is positive.