What is 0.1780 as a fraction in simplest form.

Converting the decimal number 0.1780 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.

How to write 0.1780 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.1780 can be broken down as:

Here, 0 is the whole number part, and 0.178 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.178, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 178/1000. To do this, find the greatest common divisor (GCD) of 178 and 1000.

• The GCD of 178 and 1000 is 2.

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

So, 0.178 as a fraction is 89/500

Step 4: Combine the Whole Number and Fraction

Now that you have 0.1780 = 0 + 0.178, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 89/500 is the fractional part.

Final Result Answer

Fraction Form of 0.1780 After simplifying, we get the final fraction:

Conclusion

Converting 0.1780 to a fraction results in 89/500. 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.