Answer: 0.0179 as a fraction is 179/10000
Converting the decimal number 0.0179 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 0.0179 can be broken down as:
0.0179 = 0 + 0.0179
Here, 0 is the whole number part, and 0.0179 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0179, to a fraction. To do this, consider the place value of the decimal:
0.0179 =
179
10000
Now, simplify the fraction 179/10000. To do this, find the greatest common divisor (GCD) of 179 and 10000.
Now, divide both the numerator and the denominator by their GCD:
179 ÷ 1
10000 ÷ 1
=
179
10000
So, 0.0179 as a fraction is 179/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0179 = 0 + 0.0179, express the entire number as a mixed fraction:
0.0179
= 0 +
179
10000
=
0
10000
+
179
10000
=
179
10000
Here, 0/10000 is the whole number 0, and 179/10000 is the fractional part.
Final Result: Fraction Form of 0.0179 After simplifying, we get the final fraction:
Answer: 0.0179 = 179/10000
Converting 0.0179 to a fraction results in 179/10000. 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.