Answer: 0.0105 as a fraction is 21/2000
Converting the decimal number 0.0105 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 0.0105 can be broken down as:
0.0105 = 0 + 0.0105
Here, 0 is the whole number part, and 0.0105 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0105, to a fraction. To do this, consider the place value of the decimal:
0.0105 =
105
10000
Now, simplify the fraction 105/10000. To do this, find the greatest common divisor (GCD) of 105 and 10000.
Now, divide both the numerator and the denominator by their GCD:
105 ÷ 5
10000 ÷ 5
=
21
2000
So, 0.0105 as a fraction is 21/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0105 = 0 + 0.0105, express the entire number as a mixed fraction:
0.0105
= 0 +
21
2000
=
0
2000
+
21
2000
=
21
2000
Here, 0/2000 is the whole number 0, and 21/2000 is the fractional part.
Final Result: Fraction Form of 0.0105 After simplifying, we get the final fraction:
Answer: 0.0105 = 21/2000
Converting 0.0105 to a fraction results in 21/2000. 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.