Answer: 0.9035 as a fraction is 1807/2000
Converting the decimal number 0.9035 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 0.9035 can be broken down as:
0.9035 = 0 + 0.9035
Here, 0 is the whole number part, and 0.9035 is the decimal part.
Focus on converting the decimal part, 0.9035, to a fraction. To do this, consider the place value of the decimal:
0.9035 =
9035
10000
Now, simplify the fraction 9035/10000. To do this, find the greatest common divisor (GCD) of 9035 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9035 ÷ 5
10000 ÷ 5
=
1807
2000
So, 0.9035 as a fraction is 1807/2000
Now that you have 0.9035 = 0 + 0.9035, express the entire number as a mixed fraction:
0.9035
= 0 +
1807
2000
=
0
2000
+
1807
2000
=
1807
2000
Here, 0/2000 is the whole number 0, and 1807/2000 is the fractional part.
Answer: 0.9035 = 1807/2000
Converting 0.9035 to a fraction results in 1807/2000. 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.