Question

determine if each expression is less than 1 or greater than 1. \\(1\frac{2}{5} - \frac{4}{5}\\) less than 1 greater than 1

Explanation:

Step1: Convert mixed number to improper fraction

The mixed number \(1\frac{2}{5}\) can be converted to an improper fraction. We know that \(1\frac{2}{5}=\frac{1\times5 + 2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Step2: Subtract the fractions

Now we need to calculate \(\frac{7}{5}-\frac{4}{5}\). Since the denominators are the same, we subtract the numerators: \(\frac{7 - 4}{5}=\frac{3}{5}\)

Step3: Compare with 1

We know that \(\frac{3}{5}=0.6\), and \(0.6< 1\)

Answer:

Less than 1