Answer: 0.0808 as a fraction is 101/1250
Converting the decimal number 0.0808 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 0.0808 can be broken down as:
0.0808 = 0 + 0.0808
Here, 0 is the whole number part, and 0.0808 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0808, to a fraction. To do this, consider the place value of the decimal:
0.0808 =
808
10000
Now, simplify the fraction 808/10000. To do this, find the greatest common divisor (GCD) of 808 and 10000.
Now, divide both the numerator and the denominator by their GCD:
808 ÷ 8
10000 ÷ 8
=
101
1250
So, 0.0808 as a fraction is 101/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0808 = 0 + 0.0808, express the entire number as a mixed fraction:
0.0808
= 0 +
101
1250
=
0
1250
+
101
1250
=
101
1250
Here, 0/1250 is the whole number 0, and 101/1250 is the fractional part.
Final Result: Fraction Form of 0.0808 After simplifying, we get the final fraction:
Answer: 0.0808 = 101/1250
Converting 0.0808 to a fraction results in 101/1250. 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.