Question

change the fraction \\(\frac{4}{13}\\) to a decimal. round off to the nearest thousandth. a) 0.134 b) 0.4113 c) 0.325 d) 0.308

Explanation:

Step1: Divide 4 by 13

To convert the fraction $\frac{4}{13}$ to a decimal, we perform the division: $4 \div 13$. When we do this division, we get $4\div13 = 0.307692\cdots$

Step2: Round to the nearest thousandth

The thousandth place is the third digit after the decimal point. The number we have is $0.307692\cdots$. The digit in the thousandth place is 7, and the next digit (the ten - thousandth place) is 6. Since $6\geq5$, we round up the thousandth place digit. So, $0.307692\cdots\approx0.308$

Answer:

D) 0.308