To convert the mixed number 3 7/8 into an improper fraction, we start by taking the whole number (3) and multiplying it by the denominator (8). This gives us 3 × 8 = 24.
Next, we add the numerator (7) to this result: 24 + 7 = 31.
Now, we can express the improper fraction. Since we’re dealing with eighths, we place the total (31) over the original denominator (8). Thus, 3 7/8 as an improper fraction is 31/8.