\( 8 \times \frac{7}{12}=\square \) (Type a whole number, fraction, or mixed number.)
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To solve \( 8 \times \frac{7}{12} \), we can think of \( 8 \) as \( \frac{8}{1} \) and multiply the fractions. So, we have: \[ \frac{8}{1} \times \frac{7}{12} = \frac{8 \times 7}{1 \times 12} = \frac{56}{12} \] Now, to simplify \( \frac{56}{12} \), we find the greatest common divisor of 56 and 12, which is 4. So, we divide both the numerator and the denominator by 4: \[ \frac{56 \div 4}{12 \div 4} = \frac{14}{3} \] Now, to convert \( \frac{14}{3} \) to a mixed number, we divide 14 by 3, which gives us 4 with a remainder of 2. Thus, we can write: \[ \frac{14}{3} = 4 \frac{2}{3} \] Therefore, the answer is: 4 \(\frac{2}{3}\)