To convert the fraction [tex]\(\frac{7}{8}\)[/tex] into a decimal, follow these steps:
1. Understand the fraction: [tex]\(\frac{7}{8}\)[/tex] represents division where 7 (the numerator) is divided by 8 (the denominator).
2. Set up the division: Perform the division of 7 by 8.
3. Perform the division: When you divide 7 by 8, you find that 7 is less than 8, so the quotient is a decimal less than 1.
4. Actual division process:
- Since 7 divided by 8 does not go evenly, we can add decimal places to our quotient.
- By converting 7 into 7.000, we begin by seeing how many times 8 can go into 70.
- 8 goes into 70 a maximum of 8 times (8 8 = 64), leaving a remainder of 6.
- Bringing down the next 0, we then have 60.
- 8 goes into 60 a maximum of 7 times (8 7 = 56), leaving a remainder of 4.
- Bringing down the next 0, we have 40.
- 8 goes into 40 exactly 5 times, with no remainder.
5. Consolidate the decimal places: The result 0.875 comes from assembling the parts of the division calculated above.
Thus, [tex]\(\frac{7}{8}\)[/tex] as a decimal is [tex]\(\boxed{0.875}\)[/tex].
