Answer: 1.9320 as a fraction is 1932/1000
Converting the decimal number 1.9320 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 1.9320 can be broken down as:
1.9320 = 1 + 0.932
Here, 1 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 ÷ 1
1000 ÷ 1
=
932
1000
So, 0.932 as a fraction is 932/1000
Now that you have 1.9320 = 1 + 0.932, express the entire number as a mixed fraction:
1.9320
= 1 +
932
1000
=
1000
1000
+
932
1000
=
1932
1000
Here, 1000/1000 is the whole number 1, and 932/1000 is the fractional part.
Answer: 1.9320 = 1932/1000
Converting 1.9320 to a fraction results in 1932/1000. 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.