To determine the decimal equivalent of the fraction [tex]\(\frac{7}{8}\)[/tex], follow these steps:
1. Understand the fraction: We have the fraction [tex]\(\frac{7}{8}\)[/tex].
2. Convert the fraction to a decimal: This can be done by performing the division of the numerator by the denominator. That is, divide 7 by 8.
3. Perform the division [tex]\( \frac{7}{8} \)[/tex]:
- Divide 7 by 8. Since 7 is less than 8, we need to add a decimal point and some zeros to perform the division properly.
- 7.000 divided by 8 gives 0.875.
4. Compare the result with the given options:
- (A) 0.767
- (B) [tex]\(0 . \overline{767}\)[/tex]
- (C) 0.875
- (D) [tex]\(0.8 \overline{75}\)[/tex]
- (E) None of the above
5. Conclusion: The decimal equivalent of [tex]\(\frac{7}{8}\)[/tex] is 0.875. The correct option that matches this decimal value is (C) 0.875.
Therefore, the decimal that is equivalent to [tex]\(\frac{7}{8}\)[/tex] is (C) 0.875.
