Answer: 0.1050 as a fraction is 21/200
Converting the decimal number 0.1050 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 0.1050 can be broken down as:
0.1050 = 0 + 0.105
Here, 0 is the whole number part, and 0.105 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.105, to a fraction. To do this, consider the place value of the decimal:
0.105 =
105
1000
Now, simplify the fraction 105/1000. To do this, find the greatest common divisor (GCD) of 105 and 1000.
Now, divide both the numerator and the denominator by their GCD:
105 ÷ 5
1000 ÷ 5
=
21
200
So, 0.105 as a fraction is 21/200
Step 4: Combine the Whole Number and FractionNow that you have 0.1050 = 0 + 0.105, express the entire number as a mixed fraction:
0.1050
= 0 +
21
200
=
0
200
+
21
200
=
21
200
Here, 0/200 is the whole number 0, and 21/200 is the fractional part.
Final Result: Fraction Form of 0.1050 After simplifying, we get the final fraction:
Answer: 0.1050 = 21/200
Converting 0.1050 to a fraction results in 21/200. 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.