Answer: 0.0723 as a fraction is 723/10000
Converting the decimal number 0.0723 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 0.0723 can be broken down as:
0.0723 = 0 + 0.0723
Here, 0 is the whole number part, and 0.0723 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0723, to a fraction. To do this, consider the place value of the decimal:
0.0723 =
723
10000
Now, simplify the fraction 723/10000. To do this, find the greatest common divisor (GCD) of 723 and 10000.
Now, divide both the numerator and the denominator by their GCD:
723 ÷ 1
10000 ÷ 1
=
723
10000
So, 0.0723 as a fraction is 723/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0723 = 0 + 0.0723, express the entire number as a mixed fraction:
0.0723
= 0 +
723
10000
=
0
10000
+
723
10000
=
723
10000
Here, 0/10000 is the whole number 0, and 723/10000 is the fractional part.
Final Result: Fraction Form of 0.0723 After simplifying, we get the final fraction:
Answer: 0.0723 = 723/10000
Converting 0.0723 to a fraction results in 723/10000. 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.