What is 0.7503 as a fraction in simplest form.

Answer: 0.7503 as a fraction is 7503/10000

Converting the decimal number 0.7503 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 0.7503 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.7503 can be broken down as:

0.7503 = 0 + 0.7503

Here, 0 is the whole number part, and 0.7503 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.7503, to a fraction. To do this, consider the place value of the decimal:

0.7503 =

7503

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 7503/10000. To do this, find the greatest common divisor (GCD) of 7503 and 10000.

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


7503 ÷ 1

10000 ÷ 1

=

7503

10000

So, 0.7503 as a fraction is 7503/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.7503 = 0 + 0.7503, express the entire number as a mixed fraction:

0.7503

= 0 +

7503

10000

=

0

10000

+

7503

10000

=

7503

10000

Here, 0/10000 is the whole number 0, and 7503/10000 is the fractional part.

Final Result Answer

Fraction Form of 0.7503 After simplifying, we get the final fraction:

Answer: 0.7503 = 7503/10000

Conclusion

Converting 0.7503 to a fraction results in 7503/10000. 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.

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