Answer: 0.0736 as a fraction is 46/625
Converting the decimal number 0.0736 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 0.0736 can be broken down as:
0.0736 = 0 + 0.0736
Here, 0 is the whole number part, and 0.0736 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0736, to a fraction. To do this, consider the place value of the decimal:
0.0736 =
736
10000
Now, simplify the fraction 736/10000. To do this, find the greatest common divisor (GCD) of 736 and 10000.
Now, divide both the numerator and the denominator by their GCD:
736 ÷ 16
10000 ÷ 16
=
46
625
So, 0.0736 as a fraction is 46/625
Step 4: Combine the Whole Number and FractionNow that you have 0.0736 = 0 + 0.0736, express the entire number as a mixed fraction:
0.0736
= 0 +
46
625
=
0
625
+
46
625
=
46
625
Here, 0/625 is the whole number 0, and 46/625 is the fractional part.
Final Result: Fraction Form of 0.0736 After simplifying, we get the final fraction:
Answer: 0.0736 = 46/625
Converting 0.0736 to a fraction results in 46/625. 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.