Answer: 0.0562 as a fraction is 281/5000
Converting the decimal number 0.0562 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 0.0562 can be broken down as:
0.0562 = 0 + 0.0562
Here, 0 is the whole number part, and 0.0562 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0562, to a fraction. To do this, consider the place value of the decimal:
0.0562 =
562
10000
Now, simplify the fraction 562/10000. To do this, find the greatest common divisor (GCD) of 562 and 10000.
Now, divide both the numerator and the denominator by their GCD:
562 ÷ 2
10000 ÷ 2
=
281
5000
So, 0.0562 as a fraction is 281/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0562 = 0 + 0.0562, express the entire number as a mixed fraction:
0.0562
= 0 +
281
5000
=
0
5000
+
281
5000
=
281
5000
Here, 0/5000 is the whole number 0, and 281/5000 is the fractional part.
Final Result: Fraction Form of 0.0562 After simplifying, we get the final fraction:
Answer: 0.0562 = 281/5000
Converting 0.0562 to a fraction results in 281/5000. 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.