Converting .305 to a Fraction
decimals to fractions is a crucial concept in mathematics, and in this article, we will explore how to convert .305 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). Fractions can be used to represent decimals, percents, and ratios.
Converting .305 to a Fraction
To convert .305 to a fraction, we need to find the equivalent fraction that represents the same value. One way to do this is to divide the decimal by a power of 10, which is the denominator of the fraction.
.305 = 305/1000
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 305 and 1000 is 5.
305 ÷ 5 = 61 1000 ÷ 5 = 200
So, the simplified fraction is:
.305 = 61/200
Conclusion
In conclusion, the decimal .305 can be converted to a fraction by dividing it by a power of 10 and simplifying the resulting fraction. The equivalent fraction is 61/200. Understanding how to convert decimals to fractions is an important skill in mathematics, and it can be applied in various mathematical operations and real-world problems.
