What is 0.1875 as a fraction in simplest form.

Answer: 0.1875 as a fraction is 3/16

Converting the decimal number 0.1875 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 0.1875 can be broken down as:

0.1875 = 0 + 0.1875


Here, 0 is the whole number part, and 0.1875 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1875, to a fraction. To do this, consider the place value of the decimal:

0.1875 =

1875

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1875/10000. To do this, find the greatest common divisor (GCD) of 1875 and 10000.

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


1875 ÷ 625

10000 ÷ 625

=

3

16



So, 0.1875 as a fraction is 3/16


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1875 = 0 + 0.1875, express the entire number as a mixed fraction:

0.1875

= 0 +

3

16

=

0

16

+

3

16

=

3

16



Here, 0/16 is the whole number 0, and 3/16 is the fractional part.



Final Result: Fraction Form of 0.1875 After simplifying, we get the final fraction:

Answer: 0.1875 = 3/16



Conclusion

Converting 0.1875 to a fraction results in 3/16. 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