Answer: 0.0344 as a fraction is 43/1250
Converting the decimal number 0.0344 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 0.0344 can be broken down as:
0.0344 = 0 + 0.0344
Here, 0 is the whole number part, and 0.0344 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0344, to a fraction. To do this, consider the place value of the decimal:
0.0344 =
344
10000
Now, simplify the fraction 344/10000. To do this, find the greatest common divisor (GCD) of 344 and 10000.
Now, divide both the numerator and the denominator by their GCD:
344 ÷ 8
10000 ÷ 8
=
43
1250
So, 0.0344 as a fraction is 43/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0344 = 0 + 0.0344, express the entire number as a mixed fraction:
0.0344
= 0 +
43
1250
=
0
1250
+
43
1250
=
43
1250
Here, 0/1250 is the whole number 0, and 43/1250 is the fractional part.
Final Result: Fraction Form of 0.0344 After simplifying, we get the final fraction:
Answer: 0.0344 = 43/1250
Converting 0.0344 to a fraction results in 43/1250. 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.