Converting 0.17 to a Fraction in Simplest Form and a Percent
Introduction
In this article, we will explore how to convert the decimal number 0.17 to a fraction in simplest form and a percent.
Converting 0.17 to a Fraction
To convert 0.17 to a fraction, we can use the following steps:
Step 1: Write the decimal number as a fraction
0.17 = 17/100
Step 2: Simplify the fraction
Since both the numerator (17) and the denominator (100) are divisible by 17, we can simplify the fraction:
17 ÷ 17 = 1 100 ÷ 17 = 100/17
So, the simplified fraction is:
0.17 = 1/5.88
Simplest Form
To find the simplest form of the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 1 and 5.88 is 1, so the simplest form of the fraction is:
0.17 = 1/5.88
Converting 0.17 to a Percent
To convert 0.17 to a percent, we can multiply the decimal number by 100:
0.17 × 100 = 17%
Conclusion
In conclusion, we have successfully converted the decimal number 0.17 to a fraction in simplest form, which is 1/5.88, and to a percent, which is 17%. These conversions can be useful in various mathematical and real-world applications.
