Answer: 0.0169 as a fraction is 21.125/1250
Converting the decimal number 0.0169 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 0.0169 can be broken down as:
0.0169 = 0 + 0.0169
Here, 0 is the whole number part, and 0.0169 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0169, to a fraction. To do this, consider the place value of the decimal:
0.0169 =
169
10000
Now, simplify the fraction 169/10000. To do this, find the greatest common divisor (GCD) of 169 and 10000.
Now, divide both the numerator and the denominator by their GCD:
169 ÷ 8
10000 ÷ 8
=
21.125
1250
So, 0.0169 as a fraction is 21.125/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0169 = 0 + 0.0169, express the entire number as a mixed fraction:
0.0169
= 0 +
21.125
1250
=
0
1250
+
21.125
1250
=
21.125
1250
Here, 0/1250 is the whole number 0, and 21.125/1250 is the fractional part.
Final Result: Fraction Form of 0.0169 After simplifying, we get the final fraction:
Answer: 0.0169 = 21.125/1250
Converting 0.0169 to a fraction results in 21.125/1250. 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.