0.175 to Fraction: Conversion and Explanation
In this article, we will discuss how to convert the decimal number 0.175 to a fraction. We will also provide a step-by-step explanation of the conversion process and the resulting fraction.
What is 0.175 in Fraction Form?
To convert the decimal number 0.175 to a fraction, we can follow these steps:
Step 1: Divide by the Place Value
Since 0.175 has three decimal places, we can divide it by 1000 (10^3) to eliminate the decimal points:
0.175 ÷ 1000 = 175
Step 2: Find the Greatest Common Divisor (GCD)
Next, we need to find the greatest common divisor (GCD) of 175 and 1000. The GCD is the largest number that divides both numbers without leaving a remainder.
Using the Euclidean algorithm or a GCD calculator, we find that the GCD of 175 and 1000 is 25.
Step 3: Simplify the Fraction
Now, we can simplify the fraction by dividing both the numerator and the denominator by the GCD:
(175 ÷ 25) / (1000 ÷ 25) = 7/40
Therefore, the decimal number 0.175 is equal to the fraction 7/40.
Conclusion
In conclusion, we have successfully converted the decimal number 0.175 to a fraction, which is 7/40. This conversion process involved dividing by the place value, finding the greatest common divisor, and simplifying the fraction. Understanding how to convert decimals to fractions is an important skill in mathematics, as it allows us to work with different number representations and perform various calculations.
