$786 \div 24 \times x = 6.55$

## Concept & Formula According to BODMAS rules, division and multiplication possess equal priority and must be executed sequentially from left to right. $$ \frac{a}{b} \times x = c \implies x = \frac{c \times b}{a} $$ ## Step-by-Step Solution * **Calculation:** Express the equation as a fraction: $\frac{786}{24} \times x = 6.55$ Simplify the fraction $\frac{786}{24}$ by dividing both numerator and denominator by 6: $786 \div 6 = 131$ $24 \div 6 = 4$ So, $\frac{131}{4} \times x = 6.55$ Isolate $x$: $x = \frac{6.55 \times 4}{131}$ Calculate the numerator: $6.55 \times 4 = 26.2$ Solve for $x$: $x = \frac{26.2}{131}$ Notice that $131 \times 2 = 262$. Therefore: $x = \frac{26.2}{131} = 0.2$ ## Exam Strategy & Shortcut Look at the options and use unit logic. $\frac{786}{24} \approx \frac{800}{25} = 32$. The equation is roughly $32 \times x = 6.55$. $x \approx \frac{6.55}{32} \approx \frac{6.4}{32} = 0.2$. This approximation safely narrows down the answer to exactly $0.2$ within moments. ## Common Pitfall A common error is multiplying $24 \times x$ first before dividing, which completely violates the left-to-right division-multiplication execution order rule. Always process operations from left to right. ## Final Answer **Therefore, the correct answer is 0.2.**