0.142 as a Fraction in Simplest Form
What is 0.142 as a Fraction?
The decimal 0.142 can be converted to a fraction in simplest form. To do this, we need to divide the decimal by the place value of the last digit.
Step 1: Divide by the Place Value
Since the last digit of 0.142 is in the thousandths place, we will divide 0.142 by 1000.
0.142 ÷ 1000 = 142/1000
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 142 and 1000.
The factors of 142 are: 1, 2, 71, and 142 The factors of 1000 are: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000
The GCD of 142 and 1000 is 2.
Step 3: Divide both Numerator and Denominator by the GCD
Now, we will divide both the numerator and denominator of the fraction by the GCD, which is 2.
(142 ÷ 2) / (1000 ÷ 2) = 71/500
The Simplest Form of 0.142 as a Fraction
Therefore, the simplest form of 0.142 as a fraction is:
71/500
This is the simplest form of the fraction, and it is equivalent to the original decimal 0.142.
