Answer: 0.1432 as a fraction is 179/1250
Converting the decimal number 0.1432 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 0.1432 can be broken down as:
0.1432 = 0 + 0.1432
Here, 0 is the whole number part, and 0.1432 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1432, to a fraction. To do this, consider the place value of the decimal:
0.1432 =
1432
10000
Now, simplify the fraction 1432/10000. To do this, find the greatest common divisor (GCD) of 1432 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1432 ÷ 8
10000 ÷ 8
=
179
1250
So, 0.1432 as a fraction is 179/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.1432 = 0 + 0.1432, express the entire number as a mixed fraction:
0.1432
= 0 +
179
1250
=
0
1250
+
179
1250
=
179
1250
Here, 0/1250 is the whole number 0, and 179/1250 is the fractional part.
Final Result: Fraction Form of 0.1432 After simplifying, we get the final fraction:
Answer: 0.1432 = 179/1250
Converting 0.1432 to a fraction results in 179/1250. 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.