To convert the fraction 1/8 into a decimal, you can perform a simple division where you divide the numerator (1) by the denominator (8).
Here’s how the conversion works step-by-step:
- Start with the fraction: 1/8.
- Divide 1 by 8. You can set this up as:
- 1.000 (considering 1 as 1.000 for division)
- ——
- 8 | 1.000
- Since 8 cannot go into 1, you place a decimal point and add a zero, making it 10.
- Now, 8 goes into 10 once, which gives you:
- 1 (to the right of the decimal point)
- 8 (8 times 1 = 8)
- Subtract: 10 – 8 = 2
- Bring down another 0, making it 20.
- 8 goes into 20 two times, which gives you:
- 2
- 16 (8 times 2 = 16)
- Subtract: 20 – 16 = 4
- Bring down another 0, making it 40.
- 8 goes into 40 five times, which gives you:
- 5
- 40 (8 times 5 = 40)
- Subtract: 40 – 40 = 0
Now that there’s no remainder, the division stops here. Putting it all together, you have:
1/8 as a decimal is 0.125.
This means that if you have one part out of a total of eight equal parts, it equates to 0.125 in decimal form.
To summarize, the conversion of the fraction 1/8 into decimal achieves 0.125, which is a useful representation in various mathematical applications.