Answer: 0.0152 as a fraction is 19/1250
Converting the decimal number 0.0152 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 0.0152 can be broken down as:
0.0152 = 0 + 0.0152
Here, 0 is the whole number part, and 0.0152 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0152, to a fraction. To do this, consider the place value of the decimal:
0.0152 =
152
10000
Now, simplify the fraction 152/10000. To do this, find the greatest common divisor (GCD) of 152 and 10000.
Now, divide both the numerator and the denominator by their GCD:
152 ÷ 8
10000 ÷ 8
=
19
1250
So, 0.0152 as a fraction is 19/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0152 = 0 + 0.0152, express the entire number as a mixed fraction:
0.0152
= 0 +
19
1250
=
0
1250
+
19
1250
=
19
1250
Here, 0/1250 is the whole number 0, and 19/1250 is the fractional part.
Final Result: Fraction Form of 0.0152 After simplifying, we get the final fraction:
Answer: 0.0152 = 19/1250
Converting 0.0152 to a fraction results in 19/1250. 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.