Answer: 0.7578 as a fraction is 3789/5000
Converting the decimal number 0.7578 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.
The decimal 0.7578 can be broken down as:
0.7578 = 0 + 0.7578
Here, 0 is the whole number part, and 0.7578 is the decimal part.
Focus on converting the decimal part, 0.7578, to a fraction. To do this, consider the place value of the decimal:
0.7578 =
7578
10000
Now, simplify the fraction 7578/10000. To do this, find the greatest common divisor (GCD) of 7578 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7578 ÷ 2
10000 ÷ 2
=
3789
5000
So, 0.7578 as a fraction is 3789/5000
Now that you have 0.7578 = 0 + 0.7578, express the entire number as a mixed fraction:
0.7578
= 0 +
3789
5000
=
0
5000
+
3789
5000
=
3789
5000
Here, 0/5000 is the whole number 0, and 3789/5000 is the fractional part.
Answer: 0.7578 = 3789/5000
Converting 0.7578 to a fraction results in 3789/5000. 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.