What is 1.0426 as a fraction in simplest form.

Converting the decimal number 1.0426 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 1.0426 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0426 can be broken down as:

Here, 1 is the whole number part, and 0.0426 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0426, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 426/10000. To do this, find the greatest common divisor (GCD) of 426 and 10000.

• The GCD of 426 and 10000 is 25.

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

So, 0.0426 as a fraction is 17.04/400

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0426 = 1 + 0.0426, express the entire number as a mixed fraction:

Here, 400/400 is the whole number 1, and 17.04/400 is the fractional part.

Final Result Answer

Fraction Form of 1.0426 After simplifying, we get the final fraction:

Conclusion

Converting 1.0426 to a fraction results in 417.04/400. 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.