Answer: 0.1622 as a fraction is 811/5000
Converting the decimal number 0.1622 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 0.1622 can be broken down as:
0.1622 = 0 + 0.1622
Here, 0 is the whole number part, and 0.1622 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1622, to a fraction. To do this, consider the place value of the decimal:
0.1622 =
1622
10000
Now, simplify the fraction 1622/10000. To do this, find the greatest common divisor (GCD) of 1622 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1622 ÷ 2
10000 ÷ 2
=
811
5000
So, 0.1622 as a fraction is 811/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1622 = 0 + 0.1622, express the entire number as a mixed fraction:
0.1622
= 0 +
811
5000
=
0
5000
+
811
5000
=
811
5000
Here, 0/5000 is the whole number 0, and 811/5000 is the fractional part.
Final Result: Fraction Form of 0.1622 After simplifying, we get the final fraction:
Answer: 0.1622 = 811/5000
Converting 0.1622 to a fraction results in 811/5000. 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.