0.05/0.18 as a Fraction
In this article, we will explore how to convert the decimal number 0.05/0.18 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). Fractions can be used to represent decimals, percentages, and ratios.
Converting 0.05/0.18 to a Fraction
To convert 0.05/0.18 to a fraction, we need to follow these steps:
Step 1: Write the Decimal as a Fraction
We can write 0.05 as a fraction by dividing it by 100, which is the denominator.
0.05 = 5/100
Step 2: Simplify the Fraction
We can simplify the fraction 5/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5.
5/100 = 1/20
Step 3: Convert 0.18 to a Fraction
We can write 0.18 as a fraction by dividing it by 100, which is the denominator.
0.18 = 18/100
Step 4: Simplify the Fraction
We can simplify the fraction 18/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
18/100 = 9/50
Step 5: Divide the Fractions
Now, we can divide the two fractions to get:
(1/20) ÷ (9/50) = 1/20 × 50/9 = 5/18
Therefore, 0.05/0.18 as a fraction is equal to 5/18.
Conclusion
In this article, we have successfully converted the decimal number 0.05/0.18 to a fraction, which is equal to 5/18. Fractions are an essential part of mathematics, and understanding how to convert decimals to fractions is a crucial skill in various mathematical operations.
