Answer: 0.1548 as a fraction is 387/2500
Converting the decimal number 0.1548 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 0.1548 can be broken down as:
0.1548 = 0 + 0.1548
Here, 0 is the whole number part, and 0.1548 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1548, to a fraction. To do this, consider the place value of the decimal:
0.1548 =
1548
10000
Now, simplify the fraction 1548/10000. To do this, find the greatest common divisor (GCD) of 1548 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1548 ÷ 4
10000 ÷ 4
=
387
2500
So, 0.1548 as a fraction is 387/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1548 = 0 + 0.1548, express the entire number as a mixed fraction:
0.1548
= 0 +
387
2500
=
0
2500
+
387
2500
=
387
2500
Here, 0/2500 is the whole number 0, and 387/2500 is the fractional part.
Final Result: Fraction Form of 0.1548 After simplifying, we get the final fraction:
Answer: 0.1548 = 387/2500
Converting 0.1548 to a fraction results in 387/2500. 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.