Answer: 0.1520 as a fraction is 19/125
Converting the decimal number 0.1520 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 0.1520 can be broken down as:
0.1520 = 0 + 0.152
Here, 0 is the whole number part, and 0.152 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.152, to a fraction. To do this, consider the place value of the decimal:
0.152 =
152
1000
Now, simplify the fraction 152/1000. To do this, find the greatest common divisor (GCD) of 152 and 1000.
Now, divide both the numerator and the denominator by their GCD:
152 ÷ 8
1000 ÷ 8
=
19
125
So, 0.152 as a fraction is 19/125
Step 4: Combine the Whole Number and FractionNow that you have 0.1520 = 0 + 0.152, express the entire number as a mixed fraction:
0.1520
= 0 +
19
125
=
0
125
+
19
125
=
19
125
Here, 0/125 is the whole number 0, and 19/125 is the fractional part.
Final Result: Fraction Form of 0.1520 After simplifying, we get the final fraction:
Answer: 0.1520 = 19/125
Converting 0.1520 to a fraction results in 19/125. 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.