The decimal number 0.65 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by placing the decimal part over a power of 10, then simplifying the resulting fraction.
To start, we identify the decimal part, which is 0.65. We then place this over 100 (since there are two decimal places), giving us the fraction 65/100.
This fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 65 and 100 is 5. Dividing both the numerator and denominator by 5, we get 13/20.
Thus, 0.65 as a fraction is 13/20. This simplified fraction provides a clear representation of the decimal value and is useful in various mathematical and real-world applications, especially when dealing with measurements and proportions.
The key benefit of expressing 0.65 as a fraction is the ease of performing calculations and comparisons with other fractions or percentages. It also allows for a more intuitive understanding of the decimal value, especially when dealing with fractions in everyday contexts.