Use long division to convert 3 3/8 to a decimal.(1 point)

Question

Responses

0.375
0.375

33.75
33.75

2.66
2.66

3.375

Answer 1

To convert the mixed number \( 3 \frac{3}{8} \) to a decimal using long division, follow these steps:

1. Separate the whole number from the fraction component:

   • The whole number is \( 3 \).
   • The fraction is \( \frac{3}{8} \).

2. Convert \( \frac{3}{8} \) to decimal:

   • Perform the long division of \( 3 \) by \( 8 \).

   Here is how the long division looks:

   0.375
   --------
   8 | 3.000
       - 24    (8 x 3 = 24)
      --------
        60     (bring down the 0)
       - 56    (8 x 7 = 56)
      --------
         40    (bring down the next 0)
       - 32    (8 x 4 = 32)
      --------
          80   (bring down the next 0)
       - 72    (8 x 9 = 72)
      --------
           8    (bring down the next 0)
   

   Continuing this process, you will find that:

   \( 3 \div 8 = 0.375 \)

3. Now add the whole number back:

   • Combine \( 3 \) and \( 0.375 \): \[ 3 + 0.375 = 3.375 \]

Thus, the decimal equivalent of \( 3 \frac{3}{8} \) is \( 3.375 \).

The correct response is:

3.375