o find half of 7 7/8 inches, begin by converting the mixed number into an improper fraction. Multiply the whole number (7) by the denominator (8) and add the numerator (7), resulting in 63/8. Next, divide this fraction by 2, which is the same as multiplying by 1/2. This gives 63/16. Finally, convert the improper fraction back into a mixed number by dividing 63 by 16. The result is 3 remainder 15, so the fraction becomes 3 15/16. Therefore, half of 7 7/8 inches is 3 15/16 inches, providing a precise measurement for practical applications.