Answer: 0.2190 as a fraction is 219/1000
Converting the decimal number 0.2190 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 0.2190 can be broken down as:
0.2190 = 0 + 0.219
Here, 0 is the whole number part, and 0.219 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.219, to a fraction. To do this, consider the place value of the decimal:
0.219 =
219
1000
Now, simplify the fraction 219/1000. To do this, find the greatest common divisor (GCD) of 219 and 1000.
Now, divide both the numerator and the denominator by their GCD:
219 ÷ 1
1000 ÷ 1
=
219
1000
So, 0.219 as a fraction is 219/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.2190 = 0 + 0.219, express the entire number as a mixed fraction:
0.2190
= 0 +
219
1000
=
0
1000
+
219
1000
=
219
1000
Here, 0/1000 is the whole number 0, and 219/1000 is the fractional part.
Final Result: Fraction Form of 0.2190 After simplifying, we get the final fraction:
Answer: 0.2190 = 219/1000
Converting 0.2190 to a fraction results in 219/1000. 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.