Answer: 0.1493 as a fraction is 373.25/2500
Converting the decimal number 0.1493 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 0.1493 can be broken down as:
0.1493 = 0 + 0.1493
Here, 0 is the whole number part, and 0.1493 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1493, to a fraction. To do this, consider the place value of the decimal:
0.1493 =
1493
10000
Now, simplify the fraction 1493/10000. To do this, find the greatest common divisor (GCD) of 1493 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1493 ÷ 4
10000 ÷ 4
=
373.25
2500
So, 0.1493 as a fraction is 373.25/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.1493 = 0 + 0.1493, express the entire number as a mixed fraction:
0.1493
= 0 +
373.25
2500
=
0
2500
+
373.25
2500
=
373.25
2500
Here, 0/2500 is the whole number 0, and 373.25/2500 is the fractional part.
Final Result: Fraction Form of 0.1493 After simplifying, we get the final fraction:
Answer: 0.1493 = 373.25/2500
Converting 0.1493 to a fraction results in 373.25/2500. 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.