0.147 as a Fraction
Converting 0.147 to a Fraction
The decimal number 0.147 can be converted to a fraction in a few simple steps.
Step 1: Divide by the Place Value
To convert a decimal to a fraction, we need to divide the decimal by the place value of the last digit. In this case, the last digit is in the thousandths place, so we'll divide 0.147 by 1000.
Step 2: Write the Fraction
Now, we can write the fraction by putting the result of the division as the numerator (top number) and the place value as the denominator (bottom number).
0.147 = 147/1000
Simplifying the Fraction
The fraction 147/1000 can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator.
Step 1: Find the GCD
To find the GCD of 147 and 1000, we can use the following factors:
- Factors of 147: 1, 3, 7, 21, 49, 147
- Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The GCD of 147 and 1000 is 1, so the fraction is already in its simplest form.
0.147 = 147/1000
Conclusion
In conclusion, the decimal number 0.147 can be converted to the fraction 147/1000, which is already in its simplest form.
