Use long division to convert 5 3/16 to a decimal.(1 point)

Question

Responses

0.1875
0.1875

≈5.3
approximately equals 5.3

5.1875
5.1875

5.36

Answer 1

To convert the mixed number \(5 \frac{3}{16}\) to a decimal using long division, we can follow these steps:

1. Separate the whole number from the fraction: \(5 + \frac{3}{16}\).

2. To convert \(\frac{3}{16}\) to a decimal, we will perform long division, dividing 3 by 16.

Let's set up the long division:

• Divide 3.000000 by 16.

   0.1875
  __________
16 | 3.000000
      - 32      (16 x 2 = 32, write 2 above the division line)
     ________
        20
        - 16     (16 x 1 = 16, write 1 above)
     ________
         40
         - 32    (16 x 2 = 32, write 2 above)
     ________
          80
          - 80   (16 x 5 = 80, write 5 above)
     ________
           0

The final result from the long division is \(0.1875\).

3. Now, we add this decimal to the whole number part:

\(5 + 0.1875 = 5.1875\).

Therefore, \(5 \frac{3}{16}\) converted to a decimal is:

5.1875