Convert the fraction below into a decimal

Question

start fraction, 5, divided by, 12, end fraction
12
5
​

Answer
Attempt 1 out of 2
Edit the repeating and non-repeating part of the decimal:
0.
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Answer 1

To convert the fraction \( \frac{5}{12} \) into a decimal, you can perform the division:

1. Divide 5 by 12.
2. Since 5 is less than 12, the decimal starts with 0.
3. To proceed, add a decimal point and a zero (making it 50) and divide again.

• 12 goes into 50 four times (because \( 12 \times 4 = 48 \)).
• Subtract 48 from 50, leaving a remainder of 2.

Now, append another zero (making it 20):

• 12 goes into 20 one time (because \( 12 \times 1 = 12 \)).
• Subtract 12 from 20, leaving a remainder of 8.

Append another zero (making it 80):

• 12 goes into 80 six times (because \( 12 \times 6 = 72 \)).
• Subtract 72 from 80, leaving a remainder of 8.

When you append another zero and continue this process, you will find:

• \( 12 \) goes into \( 80 \) six times again.

This results in the decimal:

\[ 0.41666\ldots \]

The digit '6' keeps repeating, so you can express the decimal as:

\[ 0.41\overline{6} \]

So, the final answer is:

0.41 (non-repeating part is 0.41, repeating part is 6)