What is 1.4626 as a fraction in simplest form.

Converting the decimal number 1.4626 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 1.4626 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.4626 can be broken down as:

Here, 1 is the whole number part, and 0.4626 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.4626, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 4626/10000. To do this, find the greatest common divisor (GCD) of 4626 and 10000.

• The GCD of 4626 and 10000 is 125.

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

So, 0.4626 as a fraction is 37.008/80

Step 4: Combine the Whole Number and Fraction

Now that you have 1.4626 = 1 + 0.4626, express the entire number as a mixed fraction:

Here, 80/80 is the whole number 1, and 37.008/80 is the fractional part.

Final Result Answer

Fraction Form of 1.4626 After simplifying, we get the final fraction:

Conclusion

Converting 1.4626 to a fraction results in 117.008/80. 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.