Answer: 0.0175 as a fraction is 7/400
Converting the decimal number 0.0175 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 0.0175 can be broken down as:
0.0175 = 0 + 0.0175
Here, 0 is the whole number part, and 0.0175 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0175, to a fraction. To do this, consider the place value of the decimal:
0.0175 =
175
10000
Now, simplify the fraction 175/10000. To do this, find the greatest common divisor (GCD) of 175 and 10000.
Now, divide both the numerator and the denominator by their GCD:
175 ÷ 25
10000 ÷ 25
=
7
400
So, 0.0175 as a fraction is 7/400
Step 4: Combine the Whole Number and FractionNow that you have 0.0175 = 0 + 0.0175, express the entire number as a mixed fraction:
0.0175
= 0 +
7
400
=
0
400
+
7
400
=
7
400
Here, 0/400 is the whole number 0, and 7/400 is the fractional part.
Final Result: Fraction Form of 0.0175 After simplifying, we get the final fraction:
Answer: 0.0175 = 7/400
Converting 0.0175 to a fraction results in 7/400. 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.