Answer: 0.1510 as a fraction is 151/1000
Converting the decimal number 0.1510 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 0.1510 can be broken down as:
0.1510 = 0 + 0.151
Here, 0 is the whole number part, and 0.151 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.151, to a fraction. To do this, consider the place value of the decimal:
0.151 =
151
1000
Now, simplify the fraction 151/1000. To do this, find the greatest common divisor (GCD) of 151 and 1000.
Now, divide both the numerator and the denominator by their GCD:
151 ÷ 1
1000 ÷ 1
=
151
1000
So, 0.151 as a fraction is 151/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1510 = 0 + 0.151, express the entire number as a mixed fraction:
0.1510
= 0 +
151
1000
=
0
1000
+
151
1000
=
151
1000
Here, 0/1000 is the whole number 0, and 151/1000 is the fractional part.
Final Result: Fraction Form of 0.1510 After simplifying, we get the final fraction:
Answer: 0.1510 = 151/1000
Converting 0.1510 to a fraction results in 151/1000. 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.