Answer: 0.1484 as a fraction is 371/2500
Converting the decimal number 0.1484 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 0.1484 can be broken down as:
0.1484 = 0 + 0.1484
Here, 0 is the whole number part, and 0.1484 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1484, to a fraction. To do this, consider the place value of the decimal:
0.1484 =
1484
10000
Now, simplify the fraction 1484/10000. To do this, find the greatest common divisor (GCD) of 1484 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1484 ÷ 4
10000 ÷ 4
=
371
2500
So, 0.1484 as a fraction is 371/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1484 = 0 + 0.1484, express the entire number as a mixed fraction:
0.1484
= 0 +
371
2500
=
0
2500
+
371
2500
=
371
2500
Here, 0/2500 is the whole number 0, and 371/2500 is the fractional part.
Final Result: Fraction Form of 0.1484 After simplifying, we get the final fraction:
Answer: 0.1484 = 371/2500
Converting 0.1484 to a fraction results in 371/2500. 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.