Answer: 0.0720 as a fraction is 9/125
Converting the decimal number 0.0720 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 0.0720 can be broken down as:
0.0720 = 0 + 0.072
Here, 0 is the whole number part, and 0.072 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.072, to a fraction. To do this, consider the place value of the decimal:
0.072 =
72
1000
Now, simplify the fraction 72/1000. To do this, find the greatest common divisor (GCD) of 72 and 1000.
Now, divide both the numerator and the denominator by their GCD:
72 ÷ 8
1000 ÷ 8
=
9
125
So, 0.072 as a fraction is 9/125
Step 4: Combine the Whole Number and FractionNow that you have 0.0720 = 0 + 0.072, express the entire number as a mixed fraction:
0.0720
= 0 +
9
125
=
0
125
+
9
125
=
9
125
Here, 0/125 is the whole number 0, and 9/125 is the fractional part.
Final Result: Fraction Form of 0.0720 After simplifying, we get the final fraction:
Answer: 0.0720 = 9/125
Converting 0.0720 to a fraction results in 9/125. 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.