Answer: 0.0100 as a fraction is 1/100
Converting the decimal number 0.0100 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 0.0100 can be broken down as:
0.0100 = 0 + 0.01
Here, 0 is the whole number part, and 0.01 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.01, to a fraction. To do this, consider the place value of the decimal:
0.01 =
1
100
Now, simplify the fraction 1/100. To do this, find the greatest common divisor (GCD) of 1 and 100.
Now, divide both the numerator and the denominator by their GCD:
1 ÷ 1
100 ÷ 1
=
1
100
So, 0.01 as a fraction is 1/100
Step 4: Combine the Whole Number and FractionNow that you have 0.0100 = 0 + 0.01, express the entire number as a mixed fraction:
0.0100
= 0 +
1
100
=
0
100
+
1
100
=
1
100
Here, 0/100 is the whole number 0, and 1/100 is the fractional part.
Final Result: Fraction Form of 0.0100 After simplifying, we get the final fraction:
Answer: 0.0100 = 1/100
Converting 0.0100 to a fraction results in 1/100. 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.