Answer: 0.1054 as a fraction is 527/5000
Converting the decimal number 0.1054 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 0.1054 can be broken down as:
0.1054 = 0 + 0.1054
Here, 0 is the whole number part, and 0.1054 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1054, to a fraction. To do this, consider the place value of the decimal:
0.1054 =
1054
10000
Now, simplify the fraction 1054/10000. To do this, find the greatest common divisor (GCD) of 1054 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1054 ÷ 2
10000 ÷ 2
=
527
5000
So, 0.1054 as a fraction is 527/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1054 = 0 + 0.1054, express the entire number as a mixed fraction:
0.1054
= 0 +
527
5000
=
0
5000
+
527
5000
=
527
5000
Here, 0/5000 is the whole number 0, and 527/5000 is the fractional part.
Final Result: Fraction Form of 0.1054 After simplifying, we get the final fraction:
Answer: 0.1054 = 527/5000
Converting 0.1054 to a fraction results in 527/5000. 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.