Answer: 0.0496 as a fraction is 31/625
Converting the decimal number 0.0496 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 0.0496 can be broken down as:
0.0496 = 0 + 0.0496
Here, 0 is the whole number part, and 0.0496 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0496, to a fraction. To do this, consider the place value of the decimal:
0.0496 =
496
10000
Now, simplify the fraction 496/10000. To do this, find the greatest common divisor (GCD) of 496 and 10000.
Now, divide both the numerator and the denominator by their GCD:
496 ÷ 16
10000 ÷ 16
=
31
625
So, 0.0496 as a fraction is 31/625
Step 4: Combine the Whole Number and FractionNow that you have 0.0496 = 0 + 0.0496, express the entire number as a mixed fraction:
0.0496
= 0 +
31
625
=
0
625
+
31
625
=
31
625
Here, 0/625 is the whole number 0, and 31/625 is the fractional part.
Final Result: Fraction Form of 0.0496 After simplifying, we get the final fraction:
Answer: 0.0496 = 31/625
Converting 0.0496 to a fraction results in 31/625. 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.