Converting 0.175 to Fraction Form
In this article, we will discuss how to convert the decimal number 0.175 to its equivalent fraction form.
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 0.175 to a Fraction
To convert the decimal number 0.175 to a fraction, we can use the following steps:
Step 1: Divide by the Place Value
First, we need to divide 0.175 by the place value of the decimal point. Since the decimal point is in the thousandths place, we will divide by 1000.
0.175 ÷ 1000 = 175/1000
Step 2: Simplify the Fraction
Next, we need to simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 175 and 1000 is 25. Therefore, we can divide both numbers by 25:
(175 ÷ 25) / (1000 ÷ 25) = 7/40
The Final Answer
The decimal number 0.175 is equivalent to the fraction 7/40.
Conclusion
In this article, we have successfully converted the decimal number 0.175 to its equivalent fraction form, which is 7/40. This conversion process can be applied to any decimal number, and it is an important skill to have in mathematics.
