Converting .46 to a Fraction
In mathematics, converting a decimal number to a fraction is a fundamental concept. Decimal numbers are widely used in everyday life, but fractions are essential in various mathematical calculations. In this article, we will explore how to convert .46 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole. It is a numerical value that represents a ratio of two quantities, where the top number (numerator) tells us how many equal parts are being referred to, and the bottom number (denominator) tells us how many parts the whole is divided into.
Converting .46 to a Fraction
To convert .46 to a fraction, we need to divide the numerator (46) by the denominator (100), since .46 is equal to 46/100.
.46 = 46/100
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 46 and 100 is 2. Therefore, we can simplify the fraction as follows:
.46 = 23/50
Simplified Fraction
So, the simplified fraction of .46 is 23/50.
Conclusion
In conclusion, converting .46 to a fraction is a straightforward process that involves dividing the decimal number by a power of 10 and then simplifying the resulting fraction. In this case, .46 is equal to the simplified fraction 23/50.
Key Takeaways
- A fraction is a way to express a part of a whole.
- To convert a decimal number to a fraction, divide the numerator by the denominator.
- Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
I hope this article helps you understand how to convert .46 to a fraction!
