Question

convert to percent notation.
$3\frac{3}{4}=\square\\%$

Explanation:

Step1: Convert mixed number to improper fraction

First, convert the mixed number \( 3\frac{3}{4} \) 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 \( 3\frac{3}{4} \), we have \( a = 3 \), \( b = 3 \), \( c = 4 \). Then \( 3\times4 + 3 = 12 + 3 = 15 \), so \( 3\frac{3}{4}=\frac{15}{4} \).

Step2: Convert fraction to decimal

Next, convert the fraction \( \frac{15}{4} \) to a decimal. Divide 15 by 4: \( 15\div4 = 3.75 \).

Step3: Convert decimal to percent

To convert a decimal to a percent, multiply the decimal by 100 and add the percent sign. So \( 3.75\times100 = 375 \), so \( 3.75 = 375\% \).

Answer:

\( 375 \)