Answer: 0.0979 as a fraction is 979/10000
Converting the decimal number 0.0979 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 0.0979 can be broken down as:
0.0979 = 0 + 0.0979
Here, 0 is the whole number part, and 0.0979 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0979, to a fraction. To do this, consider the place value of the decimal:
0.0979 =
979
10000
Now, simplify the fraction 979/10000. To do this, find the greatest common divisor (GCD) of 979 and 10000.
Now, divide both the numerator and the denominator by their GCD:
979 ÷ 1
10000 ÷ 1
=
979
10000
So, 0.0979 as a fraction is 979/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0979 = 0 + 0.0979, express the entire number as a mixed fraction:
0.0979
= 0 +
979
10000
=
0
10000
+
979
10000
=
979
10000
Here, 0/10000 is the whole number 0, and 979/10000 is the fractional part.
Final Result: Fraction Form of 0.0979 After simplifying, we get the final fraction:
Answer: 0.0979 = 979/10000
Converting 0.0979 to a fraction results in 979/10000. 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.