What is 1.1457 as a fraction in simplest form.

Converting the decimal number 1.1457 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 1.1457 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.1457 can be broken down as:

Here, 1 is the whole number part, and 0.1457 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1457, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 1457/10000. To do this, find the greatest common divisor (GCD) of 1457 and 10000.

• The GCD of 1457 and 10000 is 16.

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

So, 0.1457 as a fraction is 91.0625/625

Step 4: Combine the Whole Number and Fraction

Now that you have 1.1457 = 1 + 0.1457, express the entire number as a mixed fraction:

Here, 625/625 is the whole number 1, and 91.0625/625 is the fractional part.

Final Result Answer

Fraction Form of 1.1457 After simplifying, we get the final fraction:

Conclusion

Converting 1.1457 to a fraction results in 716.0625/625. 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.