Question

What is 3/16 expressed as a decimal?

• A. 0.16
• B. 0.1875
• C. 0.192
• D. 0.214
• E. 0.316

Hint:

Another way to convert some fractions is to find an equivalent fraction with a denominator that is a power of 10. Since \(16 = 2^4\), we can multiply the numerator and denominator by \(5^4 = 625\) to get a denominator of \(10^4 = 10000\).
\[ \frac{3}{16} = \frac{3 \times 625}{16 \times 625} = \frac{1875}{10000} = 0.1875 \]

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
To convert a fraction to a decimal, you divide the numerator by the denominator.
Step 2: Key Formula or Approach:
We need to perform the division: \(3 \div 16\).
Step 3: Detailed Explanation:
We can use long division to find the decimal value.
\[ \begin{array}{r} 0.1875
16 \overline{) 3.0000}
-0 \downarrow \phantom{0000}
\hline 30 \phantom{0000}
-16 \downarrow \phantom{000}
\hline 140 \phantom{000}
-128 \downarrow \phantom{00}
\hline 120 \phantom{0}
-112 \downarrow
\hline 80
-80
\hline 0 \end{array} \] The division gives us 0.1875.
Step 4: Final Answer:
The decimal equivalent of 3/16 is 0.1875. This corresponds to option (B).