Answer: 0.0134 as a fraction is 67/5000
Converting the decimal number 0.0134 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 0.0134 can be broken down as:
0.0134 = 0 + 0.0134
Here, 0 is the whole number part, and 0.0134 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0134, to a fraction. To do this, consider the place value of the decimal:
0.0134 =
134
10000
Now, simplify the fraction 134/10000. To do this, find the greatest common divisor (GCD) of 134 and 10000.
Now, divide both the numerator and the denominator by their GCD:
134 ÷ 2
10000 ÷ 2
=
67
5000
So, 0.0134 as a fraction is 67/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0134 = 0 + 0.0134, express the entire number as a mixed fraction:
0.0134
= 0 +
67
5000
=
0
5000
+
67
5000
=
67
5000
Here, 0/5000 is the whole number 0, and 67/5000 is the fractional part.
Final Result: Fraction Form of 0.0134 After simplifying, we get the final fraction:
Answer: 0.0134 = 67/5000
Converting 0.0134 to a fraction results in 67/5000. 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.