Answer: 0.0040 as a fraction is 1/250
Converting the decimal number 0.0040 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 0.0040 can be broken down as:
0.0040 = 0 + 0.004
Here, 0 is the whole number part, and 0.004 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.004, to a fraction. To do this, consider the place value of the decimal:
0.004 =
4
1000
Now, simplify the fraction 4/1000. To do this, find the greatest common divisor (GCD) of 4 and 1000.
Now, divide both the numerator and the denominator by their GCD:
4 ÷ 4
1000 ÷ 4
=
1
250
So, 0.004 as a fraction is 1/250
Step 4: Combine the Whole Number and FractionNow that you have 0.0040 = 0 + 0.004, express the entire number as a mixed fraction:
0.0040
= 0 +
1
250
=
0
250
+
1
250
=
1
250
Here, 0/250 is the whole number 0, and 1/250 is the fractional part.
Final Result: Fraction Form of 0.0040 After simplifying, we get the final fraction:
Answer: 0.0040 = 1/250
Converting 0.0040 to a fraction results in 1/250. 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.