0.0125 Expressed in Fraction in Lowest Term
In this article, we will explore how to express the decimal number 0.0125 as a fraction in its lowest term.
Step 1: Convert the Decimal to a Fraction
To convert a decimal 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 4 decimal places, so we will divide 0.0125 by 10,000.
$0.0125 = \frac{0.0125}{1} = \frac{0.0125 \times 10,000}{1 \times 10,000} = \frac{125}{10,000}$
Step 2: Simplify the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 125 and 10,000 is 125, so we can divide both numbers by 125.
$\frac{125}{10,000} = \frac{125 \div 125}{10,000 \div 125} = \frac{1}{80}$
Therefore, the fraction in its lowest term is:
0.0125 = 1/80
In conclusion, the decimal number 0.0125 can be expressed as a fraction in its lowest term as 1/80.
