Answer: 0.0230 as a fraction is 23/1000
Converting the decimal number 0.0230 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 0.0230 can be broken down as:
0.0230 = 0 + 0.023
Here, 0 is the whole number part, and 0.023 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.023, to a fraction. To do this, consider the place value of the decimal:
0.023 =
23
1000
Now, simplify the fraction 23/1000. To do this, find the greatest common divisor (GCD) of 23 and 1000.
Now, divide both the numerator and the denominator by their GCD:
23 ÷ 1
1000 ÷ 1
=
23
1000
So, 0.023 as a fraction is 23/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.0230 = 0 + 0.023, express the entire number as a mixed fraction:
0.0230
= 0 +
23
1000
=
0
1000
+
23
1000
=
23
1000
Here, 0/1000 is the whole number 0, and 23/1000 is the fractional part.
Final Result: Fraction Form of 0.0230 After simplifying, we get the final fraction:
Answer: 0.0230 = 23/1000
Converting 0.0230 to a fraction results in 23/1000. 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.