Answer: 0.9010 as a fraction is 901/1000
Converting the decimal number 0.9010 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 0.9010 can be broken down as:
0.9010 = 0 + 0.901
Here, 0 is the whole number part, and 0.901 is the decimal part.
Focus on converting the decimal part, 0.901, to a fraction. To do this, consider the place value of the decimal:
0.901 =
901
1000
Now, simplify the fraction 901/1000. To do this, find the greatest common divisor (GCD) of 901 and 1000.
Now, divide both the numerator and the denominator by their GCD:
901 ÷ 1
1000 ÷ 1
=
901
1000
So, 0.901 as a fraction is 901/1000
Now that you have 0.9010 = 0 + 0.901, express the entire number as a mixed fraction:
0.9010
= 0 +
901
1000
=
0
1000
+
901
1000
=
901
1000
Here, 0/1000 is the whole number 0, and 901/1000 is the fractional part.
Answer: 0.9010 = 901/1000
Converting 0.9010 to a fraction results in 901/1000. 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.