0.175 as a Fraction in Simplest Form
Introduction
Decimals can be converted to fractions, and in this article, we will explore how to convert 0.175 to a fraction in its simplest form.
Conversion to a Fraction
To convert a decimal to a fraction, we need to divide the decimal by a power of 10, depending on the number of decimal places. In this case, we have two decimal places, so we will divide 0.175 by 100.
0.175 = 175/1000
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 175 and 1000 is 25.
175 ÷ 25 = 7 1000 ÷ 25 = 40
Now, we can write the simplified fraction:
0.175 = 7/40
Conclusion
In conclusion, the decimal 0.175 can be converted to a fraction in its simplest form as 7/40. This is a more compact and easy-to-understand representation of the decimal, and it can be used in various mathematical operations and applications.
