Simplify. (1)/(2)+(1)/(6)-(-3)

Add Fractions with Common Denominator: Add the fractions (1)/(2) and (1)/(6). To add fractions, we need a common denominator. The least common multiple of 2 and 6 is 6. So, we convert (1)/(2) to (3)/(6) because (1)/(2) * (3)/(3) = (3)/(6). Now we can add (3)/(6) and (1)/(6). (3)/(6) + (1)/(6) = (4)/(6)Simplify Fraction: Simplify the fraction (4)/(6). The fraction (4)/(6) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. (4)/(6) ÷ (2)/(2) = (2)/(3)Add Fraction to Negative Integer: Add the simplified fraction to the negative of the negative integer. We have (2)/(3) and we need to subtract -3, which is the same as adding 3 because subtracting a negative is the same as adding a positive. (2)/(3) + 3Convert Integer to Fraction: Convert the integer 3 to a fraction with the same denominator as (2)/(3). To combine the fraction with the integer, we express 3 as a fraction with a denominator of 3. 3 = (9)/(3) because 3 * (3)/(3) = (9)/(3). Now we can add (2)/(3) and (9)/(3). (2)/(3) + (9)/(3) = (11)/(3)Combine Fractions: Combine the fractions. Now that we have a common denominator, we can add the numerators. (2)/(3) + (9)/(3) = (11)/(3)

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Simplify. $\frac{1}{2}+\frac{1}{6}-(-3)$

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Algebra 1

Evaluate integers raised to rational exponents

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Q. Simplify.

\frac{1}{2}+\frac{1}{6}-(-3)

Add Fractions with Common Denominator: Add the fractions $(1)/(2)$ and $(1)/(6)$ . $\newline$ To add fractions, we need a common denominator. The least common multiple of $2$ and $6$ is $6$ . $\newline$ So, we convert $(1)/(2)$ to $(3)/(6)$ because $(1)/(2) \times (3)/(3) = (3)/(6)$ . $\newline$ Now we can add $(3)/(6)$ and $(1)/(6)$ . $\newline$ $(1)/(6)$ $0$
Simplify Fraction: Simplify the fraction $(4)/(6)$ . $\newline$ The fraction $(4)/(6)$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $(4)/(6) \div (2)/(2) = (2)/(3)$
Add Fraction to Negative Integer: Add the simplified fraction to the negative of the negative integer. $\newline$ We have $(\frac{2}{3})$ and we need to subtract $-3$ , which is the same as adding $3$ because subtracting a negative is the same as adding a positive. $\newline$ $(\frac{2}{3}) + 3$
Convert Integer to Fraction: Convert the integer $3$ to a fraction with the same denominator as $\frac{2}{3}$ . To combine the fraction with the integer, we express $3$ as a fraction with a denominator of $3$ . $3 = \frac{9}{3}$ because $3 \times \frac{3}{3} = \frac{9}{3}$ . Now we can add $\frac{2}{3}$ and $\frac{9}{3}$ . $\frac{2}{3} + \frac{9}{3} = \frac{11}{3}$
Combine Fractions: Combine the fractions. $\newline$ Now that we have a common denominator, we can add the numerators. $\newline$ $(2)/(3) + (9)/(3) = (11)/(3)$