Answer: 0.1947 as a fraction is 1947/10000
Converting the decimal number 0.1947 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 0.1947 can be broken down as:
0.1947 = 0 + 0.1947
Here, 0 is the whole number part, and 0.1947 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1947, to a fraction. To do this, consider the place value of the decimal:
0.1947 =
1947
10000
Now, simplify the fraction 1947/10000. To do this, find the greatest common divisor (GCD) of 1947 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1947 ÷ 1
10000 ÷ 1
=
1947
10000
So, 0.1947 as a fraction is 1947/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1947 = 0 + 0.1947, express the entire number as a mixed fraction:
0.1947
= 0 +
1947
10000
=
0
10000
+
1947
10000
=
1947
10000
Here, 0/10000 is the whole number 0, and 1947/10000 is the fractional part.
Final Result: Fraction Form of 0.1947 After simplifying, we get the final fraction:
Answer: 0.1947 = 1947/10000
Converting 0.1947 to a fraction results in 1947/10000. 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.