1. Given the equation $3b = \frac{2a - 1}{4 - 5a}$, the problem asks to find the value of $A$ when $A = 6m + \frac{7n}{100}$, $m=2$, and $n=3$. 2. First, we focus on the expression for $A$: $$A = 6m + \frac{7n}{100}$$ 3. Substitute $m=2$ and $n=3$ into the formula: $$A = 6 \times 2 + \frac{7 \times 3}{100}$$ 4. Calculate each term: $$6 \times 2 = 12$$ $$7 \times 3 = 21$$ 5. Work out the fraction: $$\frac{21}{100} = 0.21$$ 6. Add the two terms: $$A = 12 + 0.21 = 12.21$$ 7. Final answer for $A$ is $12.21$. Note: The first equation $3b = \frac{2a - 1}{4 - 5a}$ is given but no specific values for $a$ or $b$ are requested. The question mainly focuses on finding $A$ for given $m$ and $n$.