Convert the decimal 0.875 to a fraction.

To convert the decimal 0.875 to a fraction, first recognize that the number can be expressed as 875 over 1000, since moving the decimal point three places to the right gives us 875. This can be written as:

[ 0.875 = \frac{875}{1000}

]

Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. In this case, both 875 and 1000 can be divided by 125, which is their GCD.

[ \frac{875 \div 125}{1000 \div 125} = \frac{7}{8} ]

Thus, 0.875 simplifies to the fraction 7/8. Therefore, the conversion from decimal to fraction shows that the correct answer is indeed 7/8.

This fraction indicates that 0.875 is equivalent to seven parts out of a total of eight, and understanding this conversion can help in various mathematical contexts.