Write 16 percent as a decimal and a fraction
The Correct Answer and Explanation is:
To write 16 percent as a decimal and a fraction, we follow a few simple steps:
1. Convert to Decimal:
To convert a percentage to a decimal, divide the percentage by 100. This is because the word “percent” means “per hundred.” Therefore:
16% = 16 ÷ 100 = 0.16
So, 16 percent as a decimal is 0.16.
2. Convert to Fraction:
To convert a percentage to a fraction, we first express the percentage as a fraction with 100 as the denominator. So:
16% = 16/100
Next, we simplify the fraction. To simplify, we look for the greatest common divisor (GCD) of 16 and 100, which is 4. We divide both the numerator and denominator by 4:
16 ÷ 4 = 4
100 ÷ 4 = 25
So, the fraction form of 16% is 4/25.
Explanation:
- Decimal Conversion:
Percentages are a way of expressing parts per hundred, so when we convert 16% to a decimal, we divide it by 100. This essentially shifts the decimal point two places to the left, converting the percentage into a smaller value that is easier to work with in calculations. - Fraction Conversion:
The process of converting a percentage into a fraction involves first writing it as a fraction with a denominator of 100 (because percentage means “per hundred”). Then, simplifying the fraction ensures that we express it in its simplest form, making it more useful for further calculations.
So, 16% as a decimal is 0.16 and as a fraction is 4/25.
