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The LCM of 8 and 12 is 24. To convert the fractions, we need to multiply the numerator and denominator of each fraction by the same value, in order to obtain an equivalent fraction with a denominator of 24.
For 2 out of 8:
Multiply the numerator and denominator by 3 (24 divided by 8) to get an equivalent fraction: (2 * 3) out of (8 * 3) = 6 out of 24.
For 3 out of 12:
Multiply the numerator and denominator by 2 (24 divided by 12) to get an equivalent fraction: (3 * 2) out of (12 * 2) = 6 out of 24.
Now that both fractions have a common denominator of 24, you can add them together:
6 out of 24 + 6 out of 24 = (6 + 6) out of 24 = 12 out of 24.
Simplified, the result is 12 out of 24.