What is 1.1252 as a fraction in simplest form.

Answer: 1.1252 as a fraction is 11252/10000

Converting the decimal number 1.1252 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 1.1252 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.1252 can be broken down as:

1.1252 = 1 + 0.1252

Here, 1 is the whole number part, and 0.1252 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1252, to a fraction. To do this, consider the place value of the decimal:

0.1252 =

1252

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 1252/10000. To do this, find the greatest common divisor (GCD) of 1252 and 10000.

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


1252 ÷ 1

10000 ÷ 1

=

1252

10000

So, 0.1252 as a fraction is 1252/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.1252 = 1 + 0.1252, express the entire number as a mixed fraction:

1.1252

= 1 +

1252

10000

=

10000

10000

+

1252

10000

=

11252

10000

Here, 10000/10000 is the whole number 1, and 1252/10000 is the fractional part.

Final Result Answer

Fraction Form of 1.1252 After simplifying, we get the final fraction:

Answer: 1.1252 = 11252/10000

Conclusion

Converting 1.1252 to a fraction results in 11252/10000. 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.

Calculated Values List