0.142 as a Fraction in Lowest Terms
To convert the decimal number 0.142 to a fraction in lowest terms, we need to follow a few simple steps.
Step 1: Write the Decimal as a Fraction
First, we can write the decimal 0.142 as a fraction by dividing by 1000 (since there are three decimal places):
0.142 = 142/1000
Step 2: Simplify the Fraction
Next, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). To find the GCD, we can list the factors of both numbers:
Factors of 142: 1, 2, 71, 142 Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The GCD of 142 and 1000 is 2. So, we can divide both the numerator and the denominator by 2:
142 ÷ 2 = 71 1000 ÷ 2 = 500
This gives us:
0.142 = 71/500
Result: 0.142 as a Fraction in Lowest Terms
Therefore, the decimal number 0.142 can be written as a fraction in lowest terms as:
0.142 = 71/500
This is the simplest form of the fraction, with the smallest possible numerator and denominator.
