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 DecimalThe 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 FractionFocus on converting the decimal part, 0.207, to a fraction. To do this, consider the place value of the decimal:
0.207 =
207
1000
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 FractionNow 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
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.