Answer: 0.1250 as a fraction is 1/8
Converting the decimal number 0.1250 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 0.1250 can be broken down as:
0.1250 = 0 + 0.125
Here, 0 is the whole number part, and 0.125 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.125, to a fraction. To do this, consider the place value of the decimal:
0.125 =
125
1000
Now, simplify the fraction 125/1000. To do this, find the greatest common divisor (GCD) of 125 and 1000.
Now, divide both the numerator and the denominator by their GCD:
125 ÷ 125
1000 ÷ 125
=
1
8
So, 0.125 as a fraction is 1/8
Step 4: Combine the Whole Number and FractionNow that you have 0.1250 = 0 + 0.125, express the entire number as a mixed fraction:
0.1250
= 0 +
1
8
=
0
8
+
1
8
=
1
8
Here, 0/8 is the whole number 0, and 1/8 is the fractional part.
Final Result: Fraction Form of 0.1250 After simplifying, we get the final fraction:
Answer: 0.1250 = 1/8
Converting 0.1250 to a fraction results in 1/8. 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.