Question

of fractions. n duced.
$2\frac{1}{5} - \frac{4}{5}$
er your answer pres

Explanation:

Step1: Convert mixed number to improper fraction

To subtract the fractions, first convert the mixed number \(2\frac{1}{5}\) to an improper fraction. The formula for converting a mixed number \(a\frac{b}{c}\) to an improper fraction is \(\frac{a\times c + b}{c}\). So for \(2\frac{1}{5}\), we have \(a = 2\), \(b = 1\), \(c = 5\). Then \(\frac{2\times5 + 1}{5}=\frac{10 + 1}{5}=\frac{11}{5}\).

Step2: Subtract the fractions

Now we have \(\frac{11}{5}-\frac{4}{5}\). When subtracting fractions with the same denominator, we subtract the numerators and keep the denominator the same. So \(\frac{11 - 4}{5}=\frac{7}{5}\).

Step3: Convert back to mixed number (optional)

We can convert \(\frac{7}{5}\) back to a mixed number. Dividing 7 by 5, we get a quotient of 1 and a remainder of 2. So \(\frac{7}{5}=1\frac{2}{5}\).

Answer:

\(1\frac{2}{5}\) (or \(\frac{7}{5}\))