Answer: 0.0952 as a fraction is 119/1250
Converting the decimal number 0.0952 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 0.0952 can be broken down as:
0.0952 = 0 + 0.0952
Here, 0 is the whole number part, and 0.0952 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0952, to a fraction. To do this, consider the place value of the decimal:
0.0952 =
952
10000
Now, simplify the fraction 952/10000. To do this, find the greatest common divisor (GCD) of 952 and 10000.
Now, divide both the numerator and the denominator by their GCD:
952 ÷ 8
10000 ÷ 8
=
119
1250
So, 0.0952 as a fraction is 119/1250
Step 4: Combine the Whole Number and FractionNow that you have 0.0952 = 0 + 0.0952, express the entire number as a mixed fraction:
0.0952
= 0 +
119
1250
=
0
1250
+
119
1250
=
119
1250
Here, 0/1250 is the whole number 0, and 119/1250 is the fractional part.
Final Result: Fraction Form of 0.0952 After simplifying, we get the final fraction:
Answer: 0.0952 = 119/1250
Converting 0.0952 to a fraction results in 119/1250. 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.