0.138 as a Fraction in Lowest Terms
To convert the decimal 0.138 to a fraction in lowest terms, we can follow these steps:
Step 1: Convert the Decimal to a Fraction
To convert 0.138 to a fraction, we can divide the decimal by a power of 10 that is equal to the number of decimal places. In this case, we have three decimal places, so we'll divide by 1000:
0.138 ÷ 1000 = 138/1000
Step 2: Simplify the Fraction
The fraction 138/1000 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 138 and 1000 is 2, so we can divide both numbers by 2:
138 ÷ 2 = 69 1000 ÷ 2 = 500
This gives us:
69/500
Step 3: Write the Fraction in Lowest Terms
The fraction 69/500 is already in lowest terms, so we can stop here.
So, 0.138 as a fraction in lowest terms is:
69/500
This is the simplest form of the fraction, and it's equivalent to the original decimal 0.138.
