Reduce to simplest form. -(5)/(12)-(-(9)/(3))=

Identify Numbers and Signs: Identify the numbers and their signs. We have two fractions, -5/12 and -(-9/3). The second fraction has a double negative, which will become positive.Simplify Double Negative: Simplify the double negative. -(-9/3) becomes +9/3 because the rule of signs states that a negative times a negative is a positive.Simplify Fraction 9/3: Simplify the fraction 9/3. 9 divided by 3 equals 3. So, -(-9/3) simplifies to +3.Combine Numbers: Combine the two numbers. Now we have -5/12 + 3. To add these, we need a common denominator. Since 3 is a whole number, we can write it as a fraction with a denominator of 12 to get the common denominator. 3 is the same as 36/12.Rewrite Whole Number: Rewrite the whole number as a fraction. 3 as a fraction with a denominator of 12 is 36/12 because 3 times 12 equals 36.Add Fractions: Add the two fractions. Now we add -5/12 and 36/12. The common denominator is 12, so we add the numerators: -5 + 36.Perform Addition: Perform the addition. -5 + 36 equals 31. So, -5/12 + 36/12 equals 31/12.

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Reduce to simplest form.

-(5)/(12)-(-(9)/(3))=

Reduce to simplest form. $\newline$ $-\frac{5}{12}-\left(-\frac{9}{3}\right)=$

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Algebra 2

Simplify variable expressions using properties

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Q. Reduce to simplest form.

\newline

-\frac{5}{12}-\left(-\frac{9}{3}\right)=

Identify Numbers and Signs: Identify the numbers and their signs. $\newline$ We have two fractions, $-\frac{5}{12}$ and $-(-\frac{9}{3})$ . The second fraction has a double negative, which will become positive.
Simplify Double Negative: Simplify the double negative. $-(-\frac{9}{3})$ becomes $+\frac{9}{3}$ because the rule of signs states that a negative times a negative is a positive.
Simplify Fraction $\frac{9}{3}$ : Simplify the fraction $\frac{9}{3}$ . $\frac{9}{3}$ divided by $3$ equals $3$ . So, $-(-\frac{9}{3})$ simplifies to $+3$ .
Combine Numbers: Combine the two numbers. $\newline$ Now we have $-\frac{5}{12} + 3$ . To add these, we need a common denominator. Since $3$ is a whole number, we can write it as a fraction with a denominator of $12$ to get the common denominator. $3$ is the same as $\frac{36}{12}$ .
Rewrite Whole Number: Rewrite the whole number as a fraction. $3$ as a fraction with a denominator of $12$ is $\frac{36}{12}$ because $3 \times 12$ equals $36$ .
Add Fractions: Add the two fractions. $\newline$ Now we add $-\frac{5}{12}$ and $\frac{36}{12}$ . The common denominator is $12$ , so we add the numerators: $-5 + 36$ .
Perform Addition: Perform the addition. $\newline$ $-5 + 36 = 31$ . So, $-\frac{5}{12} + \frac{36}{12} = \frac{31}{12}$ .