What is 0.2070 as a fraction in simplest form.

Answer: 0.2070 as a fraction is 207/1000

Converting the decimal number 0.2070 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 0.2070 can be broken down as:

0.2070 = 0 + 0.207


Here, 0 is the whole number part, and 0.207 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.207, to a fraction. To do this, consider the place value of the decimal:

0.207 =

207

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 207/1000. To do this, find the greatest common divisor (GCD) of 207 and 1000.

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


207 ÷ 1

1000 ÷ 1

=

207

1000



So, 0.207 as a fraction is 207/1000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2070 = 0 + 0.207, express the entire number as a mixed fraction:

0.2070

= 0 +

207

1000

=

0

1000

+

207

1000

=

207

1000



Here, 0/1000 is the whole number 0, and 207/1000 is the fractional part.



Final Result: Fraction Form of 0.2070 After simplifying, we get the final fraction:

Answer: 0.2070 = 207/1000



Conclusion

Converting 0.2070 to a fraction results in 207/1000. 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.

Calculated Values List