What is 0.4970 as a fraction in simplest form.

Converting the decimal number 0.4970 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 0.4970 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.4970 can be broken down as:

Here, 0 is the whole number part, and 0.497 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.497, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 497/1000. To do this, find the greatest common divisor (GCD) of 497 and 1000.

• The GCD of 497 and 1000 is 1.

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

So, 0.497 as a fraction is 497/1000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.4970 = 0 + 0.497, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 497/1000 is the fractional part.

Final Result Answer

Fraction Form of 0.4970 After simplifying, we get the final fraction:

Conclusion

Converting 0.4970 to a fraction results in 497/1000. 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.