Answer: 0.1450 as a fraction is 29/200
Converting the decimal number 0.1450 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 0.1450 can be broken down as:
0.1450 = 0 + 0.145
Here, 0 is the whole number part, and 0.145 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.145, to a fraction. To do this, consider the place value of the decimal:
0.145 =
145
1000
Now, simplify the fraction 145/1000. To do this, find the greatest common divisor (GCD) of 145 and 1000.
Now, divide both the numerator and the denominator by their GCD:
145 ÷ 5
1000 ÷ 5
=
29
200
So, 0.145 as a fraction is 29/200
Step 4: Combine the Whole Number and FractionNow that you have 0.1450 = 0 + 0.145, express the entire number as a mixed fraction:
0.1450
= 0 +
29
200
=
0
200
+
29
200
=
29
200
Here, 0/200 is the whole number 0, and 29/200 is the fractional part.
Final Result: Fraction Form of 0.1450 After simplifying, we get the final fraction:
Answer: 0.1450 = 29/200
Converting 0.1450 to a fraction results in 29/200. 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.