Conversion: Since 18 per 100 is equivalent to 18 hundredths, it can be written as 0.18 in decimal form.
This can also be viewed as 1 tenth and 8 hundredths, or 10 hundredths plus 8 hundredths, totaling 18 hundredths.
Fraction Representation
Initial Fraction: 18% can be expressed as a fraction: ( \frac{18}{100} ).
Simplifying the Fraction:
Check for common factors: Both 18 and 100 are even and divisible by 2.
Divide by 2:
( \frac{18}{2} = 9 )
( \frac{100}{2} = 50 )
Simplified Fraction: ( \frac{9}{50} )
No common factors: 9 is only divisible by 1, 3, and 9, while 50 is not divisible by 3, confirming ( \frac{9}{50} ) is in simplest form.
Key Points
Percent to Decimal:
18% = 0.18.
This involves moving the decimal point two places to the left, turning 18.0% to 0.18.
Percent to Fraction:
18% = ( \frac{18}{100} )
Simplified to ( \frac{9}{50} ).
Conclusion
The instruction highlights the methodology of converting percentages to decimals and fractions, emphasizing understanding the term "percent" as "per hundred." It also connects percentage, decimal, and fraction forms clearly, aiding comprehension.