write 0.125 as a simplest fraction and percent.
The correct answer and explanation is:
The decimal 0.125 can be written as the fraction 1/8 and as the percentage 12.5%.
Explanation:
To convert a decimal into a fraction, you start by considering the place value of the decimal. The decimal 0.125 has three digits after the decimal point, so it is equivalent to 125/1000.
- Step 1: Express 0.125 as a fraction
To write 0.125 as a fraction, place it over 1 with the appropriate power of 10 based on the number of decimal places. For 0.125, it becomes 125/1000. - Step 2: Simplify the fraction
To simplify 125/1000, find the greatest common divisor (GCD) of 125 and 1000. Both 125 and 1000 are divisible by 125. Divide both the numerator and denominator by 125: 125÷1251000÷125=18\frac{125 \div 125}{1000 \div 125} = \frac{1}{8} Thus, 0.125 as a fraction in its simplest form is 1/8. - Step 3: Convert the decimal to a percentage
To convert a decimal to a percentage, multiply it by 100 and add the percentage symbol (%).
For 0.125, multiplying by 100: 0.125×100=12.50.125 \times 100 = 12.5 So, 0.125 as a percentage is 12.5%.
Thus, 0.125 is 1/8 as a fraction and 12.5% as a percentage.