What is 0.0175 as a fraction in simplest form.

Answer: 0.0175 as a fraction is 7/400

Converting the decimal number 0.0175 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

Step 1: Understand the Decimal

The decimal 0.0175 can be broken down as:

0.0175 = 0 + 0.0175


Here, 0 is the whole number part, and 0.0175 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0175, to a fraction. To do this, consider the place value of the decimal:

0.0175 =

175

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 175/10000. To do this, find the greatest common divisor (GCD) of 175 and 10000.

Now, divide both the numerator and the denominator by their GCD:


175 ÷ 25

10000 ÷ 25

=

7

400



So, 0.0175 as a fraction is 7/400


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0175 = 0 + 0.0175, express the entire number as a mixed fraction:

0.0175

= 0 +

7

400

=

0

400

+

7

400

=

7

400



Here, 0/400 is the whole number 0, and 7/400 is the fractional part.



Final Result: Fraction Form of 0.0175 After simplifying, we get the final fraction:

Answer: 0.0175 = 7/400



Conclusion

Converting 0.0175 to a fraction results in 7/400. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.

Calculated Values List