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