0.144 as a Fraction in Lowest Terms
To convert the decimal number 0.144 to a fraction in lowest terms, we need to follow a few simple steps.
Step 1: Write the Decimal as a Fraction
The decimal number 0.144 can be written as a fraction by dividing the numerator (144) by a denominator that is equal to the number of decimal places (3).
0.144 = 144/1000
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 144 and 1000 is 4. Therefore, we can divide both the numerator and the denominator by 4.
144 ÷ 4 = 36 1000 ÷ 4 = 250
So, the simplified fraction is:
0.144 = 36/250
Step 3: Check for Further Simplification
To ensure that the fraction is in its lowest terms, we need to check if the numerator and the denominator can be further simplified.
In this case, the numerator (36) and the denominator (250) do not have any common factors other than 1. Therefore, the fraction is already in its lowest terms.
0.144 = 36/250
Therefore, the decimal number 0.144 can be written as a fraction in lowest terms as 36/250.
