Multiply (8%)/(12*100%)
The problem provided, "Multiply (8%)/(12*100%)," is asking for the computation of the multiplication of a percentage (8%) by a fraction (1/12, which is the equivalent of dividing by 12). Since 100% equates to 1 in decimal form, the multiplication involves converting the percentages into their decimal equivalents and then performing the multiplication operation. The question does not require converting the final answer back into a percentage or any other form; it simply asks for the direct result of the multiplication.
$\frac{8 \%}{12 \cdot 100 \%}$
Answer
Solution:
Step:1 Transform the percentage 8% into its decimal equivalent by dividing by 100. $\frac{8}{100} \div (12 \cdot 100\%)$
Step:2 Change 100% into its decimal form, which is 1. $\frac{0.08}{12 \cdot 1}$
Step:3 Commence simplification of the fraction.
Step:3.1 Calculate the product of 12 and 1. $\frac{0.08}{12}$
Step:3.2 Execute the division of 0.08 by 12 to get the final result. $\frac{0.08}{12}$
Knowledge Notes:
Percentages to Decimals: To convert a percentage to a decimal, divide by 100. This is because the term "percent" means "per hundred." For example, 8% is equivalent to $8 \div 100$ or 0.08.
Simplification of Fractions: Simplifying a fraction involves reducing it to its simplest form where the numerator and denominator have no common factors other than 1. In this case, the simplification process involves basic arithmetic operations.
Decimal Arithmetic: When performing arithmetic with decimals, it's important to align the decimal points and apply the standard rules of addition, subtraction, multiplication, and division.
Division by a Whole Number: To divide a decimal by a whole number, you can use long division or a calculator. The process is similar to dividing whole numbers, but you must account for the decimal point's position.
Conversion of Percent to a Decimal: 100% is equivalent to 1 in decimal form. This is because 100% represents a whole, and in decimal, a whole is denoted by 1. Therefore, when you see 100%, you can directly replace it with 1 in any calculation.
