Answer: 0.9170 as a fraction is 917/1000
Converting the decimal number 0.9170 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 0.9170 can be broken down as:
0.9170 = 0 + 0.917
Here, 0 is the whole number part, and 0.917 is the decimal part.
Focus on converting the decimal part, 0.917, to a fraction. To do this, consider the place value of the decimal:
0.917 =
917
1000
Now, simplify the fraction 917/1000. To do this, find the greatest common divisor (GCD) of 917 and 1000.
Now, divide both the numerator and the denominator by their GCD:
917 ÷ 1
1000 ÷ 1
=
917
1000
So, 0.917 as a fraction is 917/1000
Now that you have 0.9170 = 0 + 0.917, express the entire number as a mixed fraction:
0.9170
= 0 +
917
1000
=
0
1000
+
917
1000
=
917
1000
Here, 0/1000 is the whole number 0, and 917/1000 is the fractional part.
Answer: 0.9170 = 917/1000
Converting 0.9170 to a fraction results in 917/1000. 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.