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Convert 6/32

to a decimal using long division.(1 point)
Responses

0.1875
0.1875

1.875
1.875

6.32
6.32

0.2

1 answer

To convert \( \frac{6}{32} \) to a decimal using long division, we can follow these steps:

  1. Simplify the fraction (if possible):

    • The GCD (greatest common divisor) of 6 and 32 is 2.
    • Therefore, \( \frac{6}{32} = \frac{3}{16} \).

  2. Perform long division of 3 by 16:

    • 16 goes into 3, 0 times (so we place a 0 with a decimal point).
    • Now, we consider 30 (bring down a zero): 16 goes into 30, 1 time (1 * 16 = 16).
    • Subtract 16 from 30 to get 14.
    • Bring down another zero to make it 140.
    • 16 goes into 140, 8 times (8 * 16 = 128).
    • Subtract 128 from 140 to get 12.
    • Bring down another zero to get 120.
    • 16 goes into 120, 7 times (7 * 16 = 112).
    • Subtract 112 from 120 to get 8.
    • Bring down another zero to get 80.
    • 16 goes into 80, 5 times (5 * 16 = 80).
    • Subtracting gives us 0, which means we are done.

Combining all the parts, we find:

  • 0.1875

So, the decimal equivalent of \( \frac{6}{32} \) is 0.1875.

The correct response is 0.1875.