Question: Select the decimal that is equivalent to
$$\dfrac{14}{40}$$.
1. **State the problem:** We need to find the decimal equivalent of the fraction $$\dfrac{14}{40}$$.
2. **Formula and rules:** To convert a fraction to a decimal, divide the numerator by the denominator.
3. **Perform the division:**
$$\dfrac{14}{40} = 14 \div 40$$
4. Simplify the fraction first by dividing numerator and denominator by their greatest common divisor (GCD), which is 2:
$$\dfrac{14}{40} = \dfrac{\cancel{2} \times 7}{\cancel{2} \times 20} = \dfrac{7}{20}$$
5. Now divide 7 by 20:
$$7 \div 20 = 0.35$$
6. **Compare with the options:**
- A: $$0.28$$ (not equal to $$0.35$$)
- B: $$0.\overline{28}$$ (repeating 28, not equal to $$0.35$$)
- C: $$0.376$$ (not equal to $$0.35$$)
- D: $$0.3\overline{76}$$ (repeating 76, not equal to $$0.35$$)
- E: None of the above
7. Since none of the options match $$0.35$$, the correct answer is **E: None of the above**.