Final answer:
To express 475% as a reduced fraction, we divide it by 100 and simplify. The result is 19/4. To express 475% as a decimal, we divide it by 100 and get 4.75.
Step-by-step explanation:
To express 475% as a reduced fraction, we can write it as 475/100 and simplify. The greatest common divisor (GCD) of 475 and 100 is 25. Dividing both numerator and denominator by 25, we get 19/4. So, 475% as a reduced fraction is 19/4.
To express 475% as a decimal, we divide 475 by 100. 475 ÷ 100 = 4.75. Therefore, 475% as a decimal is 4.75.
Expressing 475% as a reduced fraction and a decimal involves a few simple steps. Let's go through them: **As a Decimal:** 1.
To express a percentage as a decimal, divide the percentage value by 100. 2. So, for 475%, you divide 475 by 100. 3. This gives us \( \frac{475}{100} = 4.75 \).
Thus, 475% as a decimal is 4.75. **As a Reduced Fraction:** 1. Also to express the percentage as a fraction, you will start by writing it over 100. The percentage symbol (%) means "per hundred," so 475% can be written as \( \frac{475}{100} \).
2. Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of 475 and 100 and then dividing both the numerator and the denominator by this number.
3. We notice that 475 and 100 have a common divisor of 25. 4. Dividing both 475 and 100 by 25, we get: \( \frac{475 \div 25}{100 \div 25} = \frac{19}{4} \). Therefore, the simplified fraction form of 475% is \( \frac{19}{4} \).