Answer: 0.0901 as a fraction is 901/10000
Converting the decimal number 0.0901 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 0.0901 can be broken down as:
0.0901 = 0 + 0.0901
Here, 0 is the whole number part, and 0.0901 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0901, to a fraction. To do this, consider the place value of the decimal:
0.0901 =
901
10000
Now, simplify the fraction 901/10000. To do this, find the greatest common divisor (GCD) of 901 and 10000.
Now, divide both the numerator and the denominator by their GCD:
901 ÷ 1
10000 ÷ 1
=
901
10000
So, 0.0901 as a fraction is 901/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0901 = 0 + 0.0901, express the entire number as a mixed fraction:
0.0901
= 0 +
901
10000
=
0
10000
+
901
10000
=
901
10000
Here, 0/10000 is the whole number 0, and 901/10000 is the fractional part.
Final Result: Fraction Form of 0.0901 After simplifying, we get the final fraction:
Answer: 0.0901 = 901/10000
Converting 0.0901 to a fraction results in 901/10000. 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.