What is the decimal equivalent of 7 divided by 8?

To convert the fraction 7/8 into a decimal, you’ll need to perform the division of 7 by 8. Here’s how it works:

1. Start by dividing 7 by 8.
2. Since 7 is smaller than 8, it won’t go in whole, so we look at it in decimal form. We can express 7 as 7.000 to make the division easier.
3. Now, when we divide, 8 goes into 70 (from 7.000) a total of 8 times, which gives us 64. Subtracting gives:
• 70 – 64 = 6
4. Bring down the next digit, making it 60.
5. Next, 8 goes into 60 a total of 7 times, giving us 56. Subtracting gives:
• 60 – 56 = 4
6. Bring down another 0, making it 40.
7. Now, 8 goes into 40 exactly 5 times, which gives us 40. Subtracting gives:
• 40 – 40 = 0

After performing the division, we find that:

7 divided by 8 equals 0.875.

Thus, the decimal representation of the fraction 7/8 is 0.875.

This means that if you were to sum the parts of a whole divided into 8 parts, taking 7 of those parts would represent 0.875 of that whole.