Fraction Evaluation 20Af92
1. **State the problem:** We need to solve the equation $$\frac{5 \times 10^{-8} \times 2}{3 \times 20} = 15.8$$ for verification or simplification.
2. **Write the formula and simplify the denominator:** The denominator is $$3 \times 20 = 60$$.
3. **Calculate the numerator:** $$5 \times 10^{-8} \times 2 = 10 \times 10^{-8} = 1 \times 10^{-7}$$.
4. **Form the fraction:** $$\frac{1 \times 10^{-7}}{60}$$.
5. **Divide numerator by denominator:** $$\frac{1 \times 10^{-7}}{60} = \frac{1}{60} \times 10^{-7} = 1.6667 \times 10^{-9}$$ approximately.
6. **Compare with the right side:** The left side is approximately $$1.6667 \times 10^{-9}$$, which is not equal to 15.8.
7. **Conclusion:** The given equation $$\frac{5 \times 10^{-8} \times 2}{3 \times 20} = 15.8$$ is not true as stated; the left side evaluates to approximately $$1.6667 \times 10^{-9}$$, which is much smaller than 15.8.