0.03215 as a Fraction
When dealing with decimals, it's often helpful to convert them to fractions. In this article, we'll explore how to convert the decimal 0.03215 to a fraction.
Converting 0.03215 to a Fraction
To convert a decimal to a fraction, we need to divide the decimal by a power of 10 that is equal to the number of decimal places. In this case, since 0.03215 has 5 decimal places, we'll divide it by 10^5, which is equal to 100,000.
Step 1: Divide the Decimal by 100,000
0.03215 ÷ 100,000 = 3215/100,000
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 3215 and 100,000.
The GCD of 3215 and 100,000 is 5.
Step 3: Divide Both Numerator and Denominator by the GCD
(3215 ÷ 5) / (100,000 ÷ 5) = 643/20,000
Final Answer
The decimal 0.03215 converted to a fraction is:
643/20,000
Now that we've converted the decimal to a fraction, we can use it in various mathematical operations or applications where fractions are required.
