Question

1. what fraction is equivalent to 0.033?

$\frac{3}{100}$
$\frac{3}{10}$
$\frac{1}{30}$
$\frac{1}{3}$

Explanation:

Step1: Analyze decimal place - value

0.033 is three - thousandths.

Step2: Convert to fraction

0.033=\frac{33}{1000}, but if we assume it's a repeating decimal 0.0\overline{33}, let \(x = 0.0333\cdots\). Then \(100x=3.333\cdots\) and \(10x = 0.333\cdots\). Subtract \(10x\) from \(100x\): \(100x-10x=3.333\cdots - 0.333\cdots\), \(90x = 3\), so \(x=\frac{3}{90}=\frac{1}{30}\).

Answer:

C. \(\frac{1}{30}\)