Question

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

Explanation:

Step1: Convert mixed number to improper fraction

To convert \( 3\frac{3}{4} \) to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). Here, \( a = 3 \), \( b = 3 \), and \( c = 4 \). So, \( 3\frac{3}{4}=\frac{3\times4 + 3}{4}=\frac{12 + 3}{4}=\frac{15}{4} \).

Step2: Convert fraction to decimal

To convert \( \frac{15}{4} \) to a decimal, we perform the division \( 15\div4 \). \( 15\div4 = 3.75 \).

Step3: Convert decimal to percent

To convert a decimal to a percent, we multiply the decimal by \( 100 \) (or move the decimal point two places to the right). So, \( 3.75\times100 = 375 \).

Answer:

\( 375 \)