Identify common denominator: Identify the common denominator for the fractions 1/3 and 2/2. Since 2 and 3 are different numbers, we need to find a common multiple that can be used as a common denominator. The smallest common multiple of 2 and 3 is 6.Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of 6. For 1/3, we multiply the numerator and the denominator by 2 to get 2/6. For 2/2, we multiply the numerator and the denominator by 3 to get 6/6.Add fractions with common denominator: Add the fractions with the common denominator. Now that we have equivalent fractions with the same denominator, we can add them directly. 2/6 + 6/6 = (2 + 6)/6Perform numerator addition: Perform the addition of the numerators. Add the numerators 2 and 6 to get 8. 2 + 6 = 8 So, 2/6 + 6/6 = 8/6Simplify resulting fraction: Simplify the resulting fraction if possible. The fraction 8/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 8/6 ÷ 2/2 = 4/3

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$\frac{1}{3}+\frac{2}{2}$

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Algebra 1

Multiplication with rational exponents

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\frac{1}{3}+\frac{2}{2}

Identify common denominator: Identify the common denominator for the fractions $\frac{1}{3}$ and $\frac{2}{2}$ . Since $2$ and $3$ are different numbers, we need to find a common multiple that can be used as a common denominator. The smallest common multiple of $2$ and $3$ is $6$ .
Convert to equivalent fractions: Convert each fraction to an equivalent fraction with the common denominator of $6$ . For $\frac{1}{3}$ , we multiply the numerator and the denominator by $2$ to get $\frac{2}{6}$ . For $\frac{2}{2}$ , we multiply the numerator and the denominator by $3$ to get $\frac{6}{6}$ .
Add fractions with common denominator: Add the fractions with the common denominator. $\newline$ Now that we have equivalent fractions with the same denominator, we can add them directly. $\newline$ $\frac{2}{6} + \frac{6}{6} = \frac{(2 + 6)}{6}$
Perform numerator addition: Perform the addition of the numerators. $\newline$ Add the numerators $2$ and $6$ to get $8$ . $\newline$ $2 + 6 = 8$ $\newline$ So, $\frac{2}{6} + \frac{6}{6} = \frac{8}{6}$
Simplify resulting fraction: Simplify the resulting fraction if possible. $\newline$ The fraction $\frac{8}{6}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $\frac{8}{6} \div \frac{2}{2} = \frac{4}{3}$