0.036 as a fraction
Understand the Problem
The question is asking to convert the decimal number 0.036 into its fractional form. This involves expressing the decimal as a fraction, which typically means determining the numerator and denominator based on the place value of the decimal.
Answer
The fractional form of 0.036 is $\frac{9}{250}$.
Answer for screen readers
The fractional form of 0.036 is $\frac{9}{250}$.
Steps to Solve
- Identify the decimal place value
The number 0.036 has three decimal places. This means we can express it as a fraction with a denominator of 1000.
- Write the decimal as a fraction
Convert the decimal to a fraction by placing the decimal value over the denominator. So, we write:
$$ \frac{36}{1000} $$
- Simplify the fraction
Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator (36) and the denominator (1000).
The GCD of 36 and 1000 is 4.
Now divide both the numerator and the denominator by their GCD:
$$ \frac{36 \div 4}{1000 \div 4} = \frac{9}{250} $$
The fractional form of 0.036 is $\frac{9}{250}$.
More Information
Converting decimals to fractions can be useful in various fields such as finance, engineering, and everyday calculations. It's important to simplify fractions to their lowest terms for clarity.
Tips
- A common mistake is forgetting to simplify the fraction after converting it from decimal. Always check for common divisors.
- Sometimes, people may mistakenly think that fractions derived from decimals have to have a denominator of 100 or 10, but this is not true; it should match the number of decimal places.
