Answer: 0.9060 as a fraction is 453/500
Converting the decimal number 0.9060 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 0.9060 can be broken down as:
0.9060 = 0 + 0.906
Here, 0 is the whole number part, and 0.906 is the decimal part.
Focus on converting the decimal part, 0.906, to a fraction. To do this, consider the place value of the decimal:
0.906 =
906
1000
Now, simplify the fraction 906/1000. To do this, find the greatest common divisor (GCD) of 906 and 1000.
Now, divide both the numerator and the denominator by their GCD:
906 ÷ 2
1000 ÷ 2
=
453
500
So, 0.906 as a fraction is 453/500
Now that you have 0.9060 = 0 + 0.906, express the entire number as a mixed fraction:
0.9060
= 0 +
453
500
=
0
500
+
453
500
=
453
500
Here, 0/500 is the whole number 0, and 453/500 is the fractional part.
Answer: 0.9060 = 453/500
Converting 0.9060 to a fraction results in 453/500. 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.