Question

write 17\frac{1}{4}\\% as a decimal (not as a percentage).

Explanation:

Step1: Convert mixed fraction to improper fraction

First, convert \( 17\frac{1}{4} \) to an improper fraction. \( 17\frac{1}{4}=\frac{17\times4 + 1}{4}=\frac{68 + 1}{4}=\frac{69}{4} \).

Step2: Convert percentage to decimal

To convert a percentage to a decimal, we divide by 100. So \( \frac{69}{4}\%=\frac{69}{4}\div100 \).
Dividing by 100 is the same as multiplying by \( \frac{1}{100} \), so \( \frac{69}{4}\times\frac{1}{100}=\frac{69}{400} \).
Now, divide 69 by 400: \( 69\div400 = 0.1725 \).

Answer:

0.1725