Converting 16.875 to a Fraction in Simplest Form
To convert the decimal number 16.875 to a fraction in simplest form, we need to follow a few steps.
Step 1: Write the decimal number as a fraction
We can write the decimal number 16.875 as a fraction by dividing the decimal part by 10 raised to the power of the number of decimal places.
16.875 = 16875/1000
Step 2: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator.
The GCD of 16875 and 1000 is 125.
Divide both the numerator and denominator by the GCD:
16875 ÷ 125 = 135 1000 ÷ 125 = 8
So, the simplified fraction is:
135/8
This is the fraction in simplest form.
Conclusion
Therefore, the decimal number 16.875 is equal to the fraction 135/8 in simplest form.
