Answer: 0.1680 as a fraction is 21/125
Converting the decimal number 0.1680 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 0.1680 can be broken down as:
0.1680 = 0 + 0.168
Here, 0 is the whole number part, and 0.168 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.168, to a fraction. To do this, consider the place value of the decimal:
0.168 =
168
1000
Now, simplify the fraction 168/1000. To do this, find the greatest common divisor (GCD) of 168 and 1000.
Now, divide both the numerator and the denominator by their GCD:
168 ÷ 8
1000 ÷ 8
=
21
125
So, 0.168 as a fraction is 21/125
Step 4: Combine the Whole Number and FractionNow that you have 0.1680 = 0 + 0.168, express the entire number as a mixed fraction:
0.1680
= 0 +
21
125
=
0
125
+
21
125
=
21
125
Here, 0/125 is the whole number 0, and 21/125 is the fractional part.
Final Result: Fraction Form of 0.1680 After simplifying, we get the final fraction:
Answer: 0.1680 = 21/125
Converting 0.1680 to a fraction results in 21/125. 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.