Converting 0.17 to a Fraction
Converting a decimal number to a fraction is a fundamental concept in mathematics. In this article, we will learn how to convert 0.17 to a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting 0.17 to a Fraction
To convert 0.17 to a fraction, we can use the following steps:
Step 1: Divide 1 by the denominator
In this case, we want to find the fraction equivalent to 0.17. We can start by dividing 1 by the denominator, which is 100 (since 0.17 is a decimal with two digits after the decimal point).
1 ÷ 100 = 0.01
Step 2: Multiply by the numerator
Next, we need to find the numerator. Since 0.17 is equal to 17 hundredths, we can multiply 0.01 by 17 to get the numerator:
0.01 × 17 = 0.17
Step 3: Write the fraction
Now, we can write the fraction equivalent to 0.17:
17/100
Simplifying the Fraction
We can simplify the fraction 17/100 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 17 and 100 is 1, so the fraction is already in its simplest form:
17/100
Therefore, the fraction equivalent to 0.17 is 17/100.
Conclusion
In conclusion, converting a decimal number to a fraction is a straightforward process. By following the steps outlined above, we can convert 0.17 to a fraction, which is 17/100. This concept is essential in mathematics and is used in various mathematical operations, such as addition, subtraction, multiplication, and division of fractions.
