Answer: 0.1472 as a fraction is 92/625
Converting the decimal number 0.1472 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 0.1472 can be broken down as:
0.1472 = 0 + 0.1472
Here, 0 is the whole number part, and 0.1472 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1472, to a fraction. To do this, consider the place value of the decimal:
0.1472 =
1472
10000
Now, simplify the fraction 1472/10000. To do this, find the greatest common divisor (GCD) of 1472 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1472 ÷ 16
10000 ÷ 16
=
92
625
So, 0.1472 as a fraction is 92/625
Step 4: Combine the Whole Number and FractionNow that you have 0.1472 = 0 + 0.1472, express the entire number as a mixed fraction:
0.1472
= 0 +
92
625
=
0
625
+
92
625
=
92
625
Here, 0/625 is the whole number 0, and 92/625 is the fractional part.
Final Result: Fraction Form of 0.1472 After simplifying, we get the final fraction:
Answer: 0.1472 = 92/625
Converting 0.1472 to a fraction results in 92/625. 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.