Find Common Denominator: To subtract two fractions, we need to find a common denominator. The denominators here are 3 and 2. The least common denominator (LCD) for 3 and 2 is 6.Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the denominator of 6. For 2/3, we multiply the numerator and denominator by 2 to get 4/6. For 1/2, we multiply the numerator and denominator by 3 to get 3/6.Subtract Fractions: With both fractions having the same denominator, we can now subtract them. We subtract the numerators and keep the denominator the same: 4/6 - 3/6.Perform Final Calculation: Performing the subtraction of the numerators gives us 4 - 3 = 1. The denominator remains 6. So, the result is 1/6.

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

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Algebra 1

Evaluate integers raised to rational exponents

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\frac{2}{3}-\frac{1}{2}

Find Common Denominator: To subtract two fractions, we need to find a common denominator. The denominators here are $3$ and $2$ . The least common denominator (LCD) for $3$ and $2$ is $6$ .
Convert to Equivalent Fractions: Now we convert each fraction to an equivalent fraction with the denominator of $6$ . For $\frac{2}{3}$ , we multiply the numerator and denominator by $2$ to get $\frac{4}{6}$ . For $\frac{1}{2}$ , we multiply the numerator and denominator by $3$ to get $\frac{3}{6}$ .
Subtract Fractions: With both fractions having the same denominator, we can now subtract them. We subtract the numerators and keep the denominator the same: $\frac{4}{6} - \frac{3}{6}$ .
Perform Final Calculation: Performing the subtraction of the numerators gives us $4 - 3 = 1$ . The denominator remains $6$ . So, the result is $\frac{1}{6}$ .