What is 0.4750 as a fraction in simplest form.

Converting the decimal number 0.4750 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 0.4750 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.4750 can be broken down as:

Here, 0 is the whole number part, and 0.475 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.475, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 475/1000. To do this, find the greatest common divisor (GCD) of 475 and 1000.

• The GCD of 475 and 1000 is 25.

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

So, 0.475 as a fraction is 19/40

Step 4: Combine the Whole Number and Fraction

Now that you have 0.4750 = 0 + 0.475, express the entire number as a mixed fraction:

Here, 0/40 is the whole number 0, and 19/40 is the fractional part.

Final Result Answer

Fraction Form of 0.4750 After simplifying, we get the final fraction:

Conclusion

Converting 0.4750 to a fraction results in 19/40. 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.