Answer: 0.0096 as a fraction is 19.2/2000
Converting the decimal number 0.0096 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 0.0096 can be broken down as:
0.0096 = 0 + 0.0096
Here, 0 is the whole number part, and 0.0096 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0096, to a fraction. To do this, consider the place value of the decimal:
0.0096 =
96
10000
Now, simplify the fraction 96/10000. To do this, find the greatest common divisor (GCD) of 96 and 10000.
Now, divide both the numerator and the denominator by their GCD:
96 ÷ 5
10000 ÷ 5
=
19.2
2000
So, 0.0096 as a fraction is 19.2/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.0096 = 0 + 0.0096, express the entire number as a mixed fraction:
0.0096
= 0 +
19.2
2000
=
0
2000
+
19.2
2000
=
19.2
2000
Here, 0/2000 is the whole number 0, and 19.2/2000 is the fractional part.
Final Result: Fraction Form of 0.0096 After simplifying, we get the final fraction:
Answer: 0.0096 = 19.2/2000
Converting 0.0096 to a fraction results in 19.2/2000. 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.