What is 1.0073 as a fraction in simplest form.

Answer: 1.0073 as a fraction is 10073/10000

Converting the decimal number 1.0073 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 1.0073 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0073 can be broken down as:

1.0073 = 1 + 0.0073000000000001

Here, 1 is the whole number part, and 0.0073000000000001 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0073000000000001, to a fraction. To do this, consider the place value of the decimal:

0.0073000000000001 =

73000000000001

10000000000000000

Step 3: Simplify the Fraction

Now, simplify the fraction 73000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 73000000000001 and 10000000000000000.

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


73000000000001 ÷ 1000000000000

10000000000000000 ÷ 1000000000000

=

73.000000000001

10000

So, 0.0073000000000001 as a fraction is 73.000000000001/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0073 = 1 + 0.0073000000000001, express the entire number as a mixed fraction:

1.0073

= 1 +

73.000000000001

10000

=

10000

10000

+

73.000000000001

10000

=

10073

10000

Here, 10000/10000 is the whole number 1, and 73.000000000001/10000 is the fractional part.

Final Result Answer

Fraction Form of 1.0073 After simplifying, we get the final fraction:

Answer: 1.0073 = 10073/10000

Conclusion

Converting 1.0073 to a fraction results in 10073/10000. 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