Answer: 0.1410 as a fraction is 141/1000
Converting the decimal number 0.1410 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 0.1410 can be broken down as:
0.1410 = 0 + 0.141
Here, 0 is the whole number part, and 0.141 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.141, to a fraction. To do this, consider the place value of the decimal:
0.141 =
141
1000
Now, simplify the fraction 141/1000. To do this, find the greatest common divisor (GCD) of 141 and 1000.
Now, divide both the numerator and the denominator by their GCD:
141 ÷ 1
1000 ÷ 1
=
141
1000
So, 0.141 as a fraction is 141/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.1410 = 0 + 0.141, express the entire number as a mixed fraction:
0.1410
= 0 +
141
1000
=
0
1000
+
141
1000
=
141
1000
Here, 0/1000 is the whole number 0, and 141/1000 is the fractional part.
Final Result: Fraction Form of 0.1410 After simplifying, we get the final fraction:
Answer: 0.1410 = 141/1000
Converting 0.1410 to a fraction results in 141/1000. 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.