Answer: 0.1549 as a fraction is 1549/10000
Converting the decimal number 0.1549 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 0.1549 can be broken down as:
0.1549 = 0 + 0.1549
Here, 0 is the whole number part, and 0.1549 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1549, to a fraction. To do this, consider the place value of the decimal:
0.1549 =
1549
10000
Now, simplify the fraction 1549/10000. To do this, find the greatest common divisor (GCD) of 1549 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1549 ÷ 1
10000 ÷ 1
=
1549
10000
So, 0.1549 as a fraction is 1549/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.1549 = 0 + 0.1549, express the entire number as a mixed fraction:
0.1549
= 0 +
1549
10000
=
0
10000
+
1549
10000
=
1549
10000
Here, 0/10000 is the whole number 0, and 1549/10000 is the fractional part.
Final Result: Fraction Form of 0.1549 After simplifying, we get the final fraction:
Answer: 0.1549 = 1549/10000
Converting 0.1549 to a fraction results in 1549/10000. 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.