0.0025 decimal concert into simple fraction
The Correct Answer and Explanation is:
To convert the decimal 0.0025 into a simple fraction, follow these steps:
Step 1: Identify the Decimal
The number you want to convert is 0.0025. This is a decimal with four digits after the decimal point, which means it is out of ten thousand (10,000).
Step 2: Express as a Fraction
You can express 0.0025 as: 0.00251\frac{0.0025}{1}10.0025
To remove the decimal point, multiply both the numerator and the denominator by 10,000 (since there are four decimal places): 0.0025×10,0001×10,000=2510,000\frac{0.0025 \times 10,000}{1 \times 10,000} = \frac{25}{10,000}1×10,0000.0025×10,000=10,00025
Step 3: Simplify the Fraction
Next, simplify the fraction 2510,000\frac{25}{10,000}10,00025. To do this, find the greatest common divisor (GCD) of 25 and 10,000. The GCD is 25.
Now, divide both the numerator and the denominator by 25: 25÷2510,000÷25=1400\frac{25 \div 25}{10,000 \div 25} = \frac{1}{400}10,000÷2525÷25=4001
Final Answer:
The decimal 0.0025 can be expressed as the simple fraction 1400\frac{1}{400}4001.
Explanation:
The process of converting a decimal to a fraction involves recognizing the place value of the decimal. In this case, 0.0025 is a decimal with four digits after the decimal point, which corresponds to ten thousandths. After expressing the decimal as a fraction with a denominator of 10,000, simplifying the fraction involves finding the GCD and reducing the fraction to its simplest form. Simplifying ensures the fraction is in its lowest terms and easier to understand.
