Answer: 0.0716 as a fraction is 179/2500
Converting the decimal number 0.0716 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 0.0716 can be broken down as:
0.0716 = 0 + 0.0716
Here, 0 is the whole number part, and 0.0716 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0716, to a fraction. To do this, consider the place value of the decimal:
0.0716 =
716
10000
Now, simplify the fraction 716/10000. To do this, find the greatest common divisor (GCD) of 716 and 10000.
Now, divide both the numerator and the denominator by their GCD:
716 ÷ 4
10000 ÷ 4
=
179
2500
So, 0.0716 as a fraction is 179/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.0716 = 0 + 0.0716, express the entire number as a mixed fraction:
0.0716
= 0 +
179
2500
=
0
2500
+
179
2500
=
179
2500
Here, 0/2500 is the whole number 0, and 179/2500 is the fractional part.
Final Result: Fraction Form of 0.0716 After simplifying, we get the final fraction:
Answer: 0.0716 = 179/2500
Converting 0.0716 to a fraction results in 179/2500. 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.