What is 0.9007 as a fraction in simplest form.

Answer: 0.9007 as a fraction is 9007/10000

Converting the decimal number 0.9007 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 0.9007 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9007 can be broken down as:

0.9007 = 0 + 0.9007

Here, 0 is the whole number part, and 0.9007 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.9007, to a fraction. To do this, consider the place value of the decimal:

0.9007 =

9007

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 9007/10000. To do this, find the greatest common divisor (GCD) of 9007 and 10000.

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


9007 ÷ 1

10000 ÷ 1

=

9007

10000

So, 0.9007 as a fraction is 9007/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9007 = 0 + 0.9007, express the entire number as a mixed fraction:

0.9007

= 0 +

9007

10000

=

0

10000

+

9007

10000

=

9007

10000

Here, 0/10000 is the whole number 0, and 9007/10000 is the fractional part.

Final Result Answer

Fraction Form of 0.9007 After simplifying, we get the final fraction:

Answer: 0.9007 = 9007/10000

Conclusion

Converting 0.9007 to a fraction results in 9007/10000. 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