0.15 as a Fraction in Lowest Terms
To express the decimal 0.15 as a fraction in lowest terms, we need to find the equivalent fraction that has the smallest possible numerator and denominator.
Step 1: Convert the Decimal to a Fraction
To convert the decimal 0.15 to a fraction, we can write it as:
0.15 = 15/100
Step 2: Simplify the Fraction
To simplify the fraction 15/100, we need to find the greatest common divisor (GCD) of 15 and 100. The GCD is the largest number that divides both 15 and 100 without leaving a remainder.
The GCD of 15 and 100 is 5.
Step 3: Divide the Numerator and Denominator by the GCD
Now, we can divide both the numerator and denominator of the fraction by the GCD:
15 ÷ 5 = 3 100 ÷ 5 = 20
So, the simplified fraction is:
0.15 = 3/20
Result: 0.15 as a Fraction in Lowest Terms
Therefore, the decimal 0.15 can be expressed as a fraction in lowest terms as:
3/20
This is the simplest form of the fraction, with the smallest possible numerator and denominator.
