Answer: 0.0288 as a fraction is 18/625
Converting the decimal number 0.0288 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 0.0288 can be broken down as:
0.0288 = 0 + 0.0288
Here, 0 is the whole number part, and 0.0288 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0288, to a fraction. To do this, consider the place value of the decimal:
0.0288 =
288
10000
Now, simplify the fraction 288/10000. To do this, find the greatest common divisor (GCD) of 288 and 10000.
Now, divide both the numerator and the denominator by their GCD:
288 ÷ 16
10000 ÷ 16
=
18
625
So, 0.0288 as a fraction is 18/625
Step 4: Combine the Whole Number and FractionNow that you have 0.0288 = 0 + 0.0288, express the entire number as a mixed fraction:
0.0288
= 0 +
18
625
=
0
625
+
18
625
=
18
625
Here, 0/625 is the whole number 0, and 18/625 is the fractional part.
Final Result: Fraction Form of 0.0288 After simplifying, we get the final fraction:
Answer: 0.0288 = 18/625
Converting 0.0288 to a fraction results in 18/625. 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.