Answer: 0.9320 as a fraction is 233/250
Converting the decimal number 0.9320 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 0.9320 can be broken down as:
0.9320 = 0 + 0.932
Here, 0 is the whole number part, and 0.932 is the decimal part.
Focus on converting the decimal part, 0.932, to a fraction. To do this, consider the place value of the decimal:
0.932 =
932
1000
Now, simplify the fraction 932/1000. To do this, find the greatest common divisor (GCD) of 932 and 1000.
Now, divide both the numerator and the denominator by their GCD:
932 ÷ 4
1000 ÷ 4
=
233
250
So, 0.932 as a fraction is 233/250
Now that you have 0.9320 = 0 + 0.932, express the entire number as a mixed fraction:
0.9320
= 0 +
233
250
=
0
250
+
233
250
=
233
250
Here, 0/250 is the whole number 0, and 233/250 is the fractional part.
Answer: 0.9320 = 233/250
Converting 0.9320 to a fraction results in 233/250. 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.