Answer: 0.0597 as a fraction is 597/10000
Converting the decimal number 0.0597 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 0.0597 can be broken down as:
0.0597 = 0 + 0.0597
Here, 0 is the whole number part, and 0.0597 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0597, to a fraction. To do this, consider the place value of the decimal:
0.0597 =
597
10000
Now, simplify the fraction 597/10000. To do this, find the greatest common divisor (GCD) of 597 and 10000.
Now, divide both the numerator and the denominator by their GCD:
597 ÷ 1
10000 ÷ 1
=
597
10000
So, 0.0597 as a fraction is 597/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0597 = 0 + 0.0597, express the entire number as a mixed fraction:
0.0597
= 0 +
597
10000
=
0
10000
+
597
10000
=
597
10000
Here, 0/10000 is the whole number 0, and 597/10000 is the fractional part.
Final Result: Fraction Form of 0.0597 After simplifying, we get the final fraction:
Answer: 0.0597 = 597/10000
Converting 0.0597 to a fraction results in 597/10000. 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.