Convert 0.875 to a fraction.

• A. 3/4
• B. 7/8
• C. 5/8
• D. 1/2

Answer: (B)

To convert the decimal 0.875 to a fraction, we start by recognizing that the decimal has three decimal places. This means it can be expressed as:

[

0.875 = \frac{875}{1000}

]

Next, we simplify the fraction by finding the greatest common divisor (GCD) of 875 and 1000. The prime factorization of 875 is ( 7 \times 5^3 ) and for 1000, it is ( 10^3 = 2^3 \times 5^3 ). The GCD here is ( 125 ) (which equals ( 5^3 )).

Now, divide both the numerator and the denominator by their GCD:

[

\frac{875 ÷ 125}{1000 ÷ 125} = \frac{7}{8}

]

Thus, 0.875 can be expressed as the fraction ( \frac{7}{8} ) in its simplest form. This fraction represents the decimal value accurately, demonstrating the relationship between fractions and their decimal counterparts.