0.05 as a Fraction out of 100
Are you trying to convert the decimal 0.05 to a fraction out of 100? Look no further! In this article, we'll show you how to convert 0.05 to a fraction and simplify it to its lowest terms.
Converting 0.05 to a Fraction
To convert 0.05 to a fraction, we can use the following steps:
- Divide by 100: Since we want to find the fraction out of 100, we'll divide 0.05 by 100.
$\frac{0.05}{100} = \frac{0.05 \div 100}{100 \div 100} = \frac{0.0005}{1}$
- Multiply by 1000: To get rid of the decimal, we'll multiply the numerator and denominator by 1000.
$\frac{0.0005}{1} = \frac{0.0005 \times 1000}{1 \times 1000} = \frac{0.5}{1000}$
- Simplify the Fraction: Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 0.5 and 1000 is 0.5, so we can divide both numbers by 0.5:
$\frac{0.5}{1000} = \frac{0.5 \div 0.5}{1000 \div 0.5} = \frac{1}{2000}$
So, the fraction equivalent to 0.05 out of 100 is 1/2000.
Summary
To summarize, we converted the decimal 0.05 to a fraction out of 100 by dividing it by 100, multiplying by 1000 to get rid of the decimal, and simplifying the fraction to its lowest terms. The final answer is 1/2000.
