Answer: 0.0970 as a fraction is 97/1000
Converting the decimal number 0.0970 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 0.0970 can be broken down as:
0.0970 = 0 + 0.097
Here, 0 is the whole number part, and 0.097 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.097, to a fraction. To do this, consider the place value of the decimal:
0.097 =
97
1000
Now, simplify the fraction 97/1000. To do this, find the greatest common divisor (GCD) of 97 and 1000.
Now, divide both the numerator and the denominator by their GCD:
97 ÷ 1
1000 ÷ 1
=
97
1000
So, 0.097 as a fraction is 97/1000
Step 4: Combine the Whole Number and FractionNow that you have 0.0970 = 0 + 0.097, express the entire number as a mixed fraction:
0.0970
= 0 +
97
1000
=
0
1000
+
97
1000
=
97
1000
Here, 0/1000 is the whole number 0, and 97/1000 is the fractional part.
Final Result: Fraction Form of 0.0970 After simplifying, we get the final fraction:
Answer: 0.0970 = 97/1000
Converting 0.0970 to a fraction results in 97/1000. 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.