Answer: 0.0351 as a fraction is 351/10000
Converting the decimal number 0.0351 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 0.0351 can be broken down as:
0.0351 = 0 + 0.0351
Here, 0 is the whole number part, and 0.0351 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0351, to a fraction. To do this, consider the place value of the decimal:
0.0351 =
351
10000
Now, simplify the fraction 351/10000. To do this, find the greatest common divisor (GCD) of 351 and 10000.
Now, divide both the numerator and the denominator by their GCD:
351 ÷ 1
10000 ÷ 1
=
351
10000
So, 0.0351 as a fraction is 351/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0351 = 0 + 0.0351, express the entire number as a mixed fraction:
0.0351
= 0 +
351
10000
=
0
10000
+
351
10000
=
351
10000
Here, 0/10000 is the whole number 0, and 351/10000 is the fractional part.
Final Result: Fraction Form of 0.0351 After simplifying, we get the final fraction:
Answer: 0.0351 = 351/10000
Converting 0.0351 to a fraction results in 351/10000. 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.