Answer: 0.9030 as a fraction is 903/1000
Converting the decimal number 0.9030 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 0.9030 can be broken down as:
0.9030 = 0 + 0.903
Here, 0 is the whole number part, and 0.903 is the decimal part.
Focus on converting the decimal part, 0.903, to a fraction. To do this, consider the place value of the decimal:
0.903 =
903
1000
Now, simplify the fraction 903/1000. To do this, find the greatest common divisor (GCD) of 903 and 1000.
Now, divide both the numerator and the denominator by their GCD:
903 ÷ 1
1000 ÷ 1
=
903
1000
So, 0.903 as a fraction is 903/1000
Now that you have 0.9030 = 0 + 0.903, express the entire number as a mixed fraction:
0.9030
= 0 +
903
1000
=
0
1000
+
903
1000
=
903
1000
Here, 0/1000 is the whole number 0, and 903/1000 is the fractional part.
Answer: 0.9030 = 903/1000
Converting 0.9030 to a fraction results in 903/1000. 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.