Question

cent into decimal
$46\frac{1}{5}\\%$

Explanation:

Step1: Convert mixed fraction to improper fraction

First, convert \(46\frac{1}{5}\) 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 \(46\frac{1}{5}\), we have \(a = 46\), \(b = 1\), \(c = 5\). Then \(46\times5+1 = 230 + 1=231\), so \(46\frac{1}{5}=\frac{231}{5}\).

Step2: Divide by 100 (since % means per 100)

To convert a percentage to a decimal, we divide the number by 100. So we take \(\frac{231}{5}\%=\frac{231}{5}\div100\). Dividing by 100 is the same as multiplying by \(\frac{1}{100}\), so \(\frac{231}{5}\times\frac{1}{100}=\frac{231}{500}\).

Step3: Convert fraction to decimal

Now, divide 231 by 500. \(231\div500 = 0.462\).

Answer:

\(0.462\)