Answer: 0.1390 as a fraction is 139/1000
Converting the decimal number 0.1390 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 0.1390 can be broken down as:
0.1390 = 0 + 0.139
Here, 0 is the whole number part, and 0.139 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.139, to a fraction. To do this, consider the place value of the decimal:
0.139 =
139
1000
Now, simplify the fraction 139/1000. To do this, find the greatest common divisor (GCD) of 139 and 1000.
Now, divide both the numerator and the denominator by their GCD:
139 ÷ 1
1000 ÷ 1
=
139
1000
So, 0.139 as a fraction is 139/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1390 = 0 + 0.139, express the entire number as a mixed fraction:
0.1390
= 0 +
139
1000
=
0
1000
+
139
1000
=
139
1000
Here, 0/1000 is the whole number 0, and 139/1000 is the fractional part.
Final Result: Fraction Form of 0.1390 After simplifying, we get the final fraction:
Answer: 0.1390 = 139/1000
Converting 0.1390 to a fraction results in 139/1000. 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.