What is 0.2310 as a fraction in simplest form.

Answer: 0.2310 as a fraction is 231/1000

Converting the decimal number 0.2310 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.

Step 1: Understand the Decimal

The decimal 0.2310 can be broken down as:

0.2310 = 0 + 0.231


Here, 0 is the whole number part, and 0.231 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.231, to a fraction. To do this, consider the place value of the decimal:

0.231 =

231

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 231/1000. To do this, find the greatest common divisor (GCD) of 231 and 1000.

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


231 ÷ 1

1000 ÷ 1

=

231

1000



So, 0.231 as a fraction is 231/1000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2310 = 0 + 0.231, express the entire number as a mixed fraction:

0.2310

= 0 +

231

1000

=

0

1000

+

231

1000

=

231

1000



Here, 0/1000 is the whole number 0, and 231/1000 is the fractional part.



Final Result: Fraction Form of 0.2310 After simplifying, we get the final fraction:

Answer: 0.2310 = 231/1000



Conclusion

Converting 0.2310 to a fraction results in 231/1000. 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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