Answer: 0.1395 as a fraction is 279/2000
Converting the decimal number 0.1395 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 0.1395 can be broken down as:
0.1395 = 0 + 0.1395
Here, 0 is the whole number part, and 0.1395 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1395, to a fraction. To do this, consider the place value of the decimal:
0.1395 =
1395
10000
Now, simplify the fraction 1395/10000. To do this, find the greatest common divisor (GCD) of 1395 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1395 ÷ 5
10000 ÷ 5
=
279
2000
So, 0.1395 as a fraction is 279/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.1395 = 0 + 0.1395, express the entire number as a mixed fraction:
0.1395
= 0 +
279
2000
=
0
2000
+
279
2000
=
279
2000
Here, 0/2000 is the whole number 0, and 279/2000 is the fractional part.
Final Result: Fraction Form of 0.1395 After simplifying, we get the final fraction:
Answer: 0.1395 = 279/2000
Converting 0.1395 to a fraction results in 279/2000. 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.