Answer: 0.0763 as a fraction is 763/10000
Converting the decimal number 0.0763 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 0.0763 can be broken down as:
0.0763 = 0 + 0.0763
Here, 0 is the whole number part, and 0.0763 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0763, to a fraction. To do this, consider the place value of the decimal:
0.0763 =
763
10000
Now, simplify the fraction 763/10000. To do this, find the greatest common divisor (GCD) of 763 and 10000.
Now, divide both the numerator and the denominator by their GCD:
763 ÷ 1
10000 ÷ 1
=
763
10000
So, 0.0763 as a fraction is 763/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0763 = 0 + 0.0763, express the entire number as a mixed fraction:
0.0763
= 0 +
763
10000
=
0
10000
+
763
10000
=
763
10000
Here, 0/10000 is the whole number 0, and 763/10000 is the fractional part.
Final Result: Fraction Form of 0.0763 After simplifying, we get the final fraction:
Answer: 0.0763 = 763/10000
Converting 0.0763 to a fraction results in 763/10000. 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.