QUESTION IMAGE
Question
compare.
- $2\frac{4}{100} \bigcirc \frac{240}{100}$
Step1: Convert mixed number to improper fraction
To convert \(2\frac{4}{100}\) to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). Here, \(a = 2\), \(b = 4\), and \(c = 100\). So, \(2\frac{4}{100}=\frac{2\times100 + 4}{100}=\frac{200 + 4}{100}=\frac{204}{100}\).
Step2: Compare the two fractions
Now we have \(\frac{204}{100}\) and \(\frac{240}{100}\). Since the denominators are the same, we compare the numerators. \(204<240\), so \(\frac{204}{100}<\frac{240}{100}\), which means \(2\frac{4}{100}<\frac{240}{100}\).
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