Answer: 0.9400 as a fraction is 47/50
Converting the decimal number 0.9400 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 0.9400 can be broken down as:
0.9400 = 0 + 0.94
Here, 0 is the whole number part, and 0.94 is the decimal part.
Focus on converting the decimal part, 0.94, to a fraction. To do this, consider the place value of the decimal:
0.94 =
94
100
Now, simplify the fraction 94/100. To do this, find the greatest common divisor (GCD) of 94 and 100.
Now, divide both the numerator and the denominator by their GCD:
94 ÷ 2
100 ÷ 2
=
47
50
So, 0.94 as a fraction is 47/50
Now that you have 0.9400 = 0 + 0.94, express the entire number as a mixed fraction:
0.9400
= 0 +
47
50
=
0
50
+
47
50
=
47
50
Here, 0/50 is the whole number 0, and 47/50 is the fractional part.
Answer: 0.9400 = 47/50
Converting 0.9400 to a fraction results in 47/50. 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.