Converting 6.15235 to a Fraction
In this article, we will explore how to convert the decimal number 6.15235 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting a Decimal to a Fraction
To convert a decimal number to a fraction, we need to find the equivalent ratio of two integers. In this case, we want to convert 6.15235 to a fraction.
Step 1: Write down the decimal number
6.15235
Step 2: Multiply the decimal number by a power of 10
To eliminate the decimal point, we multiply the decimal number by 10 raised to the power of the number of decimal places. In this case, we have 5 decimal places, so we multiply by 10^5:
6.15235 × 10^5 = 615235
Step 3: Write the result as a fraction
Now, we write the result as a fraction:
615235 / 10^5
Step 4: Simplify the fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 615235 and 10^5 is 5, so we divide both numbers by 5:
615235 ÷ 5 = 123047 10^5 ÷ 5 = 20000
Therefore, the simplified fraction is:
123047 / 20000
And that's it! We have successfully converted the decimal number 6.15235 to a fraction.
Conclusion
In conclusion, converting a decimal number to a fraction involves multiplying the decimal number by a power of 10, writing the result as a fraction, and simplifying the fraction by dividing both the numerator and the denominator by their GCD. By following these steps, we can convert any decimal number to a fraction.
