Answer: 0.0738 as a fraction is 369/5000
Converting the decimal number 0.0738 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 0.0738 can be broken down as:
0.0738 = 0 + 0.0738
Here, 0 is the whole number part, and 0.0738 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0738, to a fraction. To do this, consider the place value of the decimal:
0.0738 =
738
10000
Now, simplify the fraction 738/10000. To do this, find the greatest common divisor (GCD) of 738 and 10000.
Now, divide both the numerator and the denominator by their GCD:
738 ÷ 2
10000 ÷ 2
=
369
5000
So, 0.0738 as a fraction is 369/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0738 = 0 + 0.0738, express the entire number as a mixed fraction:
0.0738
= 0 +
369
5000
=
0
5000
+
369
5000
=
369
5000
Here, 0/5000 is the whole number 0, and 369/5000 is the fractional part.
Final Result: Fraction Form of 0.0738 After simplifying, we get the final fraction:
Answer: 0.0738 = 369/5000
Converting 0.0738 to a fraction results in 369/5000. 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.