What is 0.9088 as a fraction in simplest form.

Converting the decimal number 0.9088 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 0.9088 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9088 can be broken down as:

Here, 0 is the whole number part, and 0.9088 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.9088, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 9088/10000. To do this, find the greatest common divisor (GCD) of 9088 and 10000.

• The GCD of 9088 and 10000 is 16.

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

So, 0.9088 as a fraction is 568/625

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9088 = 0 + 0.9088, express the entire number as a mixed fraction:

Here, 0/625 is the whole number 0, and 568/625 is the fractional part.

Final Result Answer

Fraction Form of 0.9088 After simplifying, we get the final fraction:

Conclusion

Converting 0.9088 to a fraction results in 568/625. 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.