Answer: 0.1500 as a fraction is 3/20
Converting the decimal number 0.1500 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 0.1500 can be broken down as:
0.1500 = 0 + 0.15
Here, 0 is the whole number part, and 0.15 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.15, to a fraction. To do this, consider the place value of the decimal:
0.15 =
15
100
Now, simplify the fraction 15/100. To do this, find the greatest common divisor (GCD) of 15 and 100.
Now, divide both the numerator and the denominator by their GCD:
15 ÷ 5
100 ÷ 5
=
3
20
So, 0.15 as a fraction is 3/20
Step 4: Combine the Whole Number and FractionNow that you have 0.1500 = 0 + 0.15, express the entire number as a mixed fraction:
0.1500
= 0 +
3
20
=
0
20
+
3
20
=
3
20
Here, 0/20 is the whole number 0, and 3/20 is the fractional part.
Final Result: Fraction Form of 0.1500 After simplifying, we get the final fraction:
Answer: 0.1500 = 3/20
Converting 0.1500 to a fraction results in 3/20. 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.