Answer: 1.8840 as a fraction is 1884/1000
Converting the decimal number 1.8840 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 1.8840 can be broken down as:
1.8840 = 1 + 0.884
Here, 1 is the whole number part, and 0.884 is the decimal part.
Focus on converting the decimal part, 0.884, to a fraction. To do this, consider the place value of the decimal:
0.884 =
884
1000
Now, simplify the fraction 884/1000. To do this, find the greatest common divisor (GCD) of 884 and 1000.
Now, divide both the numerator and the denominator by their GCD:
884 ÷ 1
1000 ÷ 1
=
884
1000
So, 0.884 as a fraction is 884/1000
Now that you have 1.8840 = 1 + 0.884, express the entire number as a mixed fraction:
1.8840
= 1 +
884
1000
=
1000
1000
+
884
1000
=
1884
1000
Here, 1000/1000 is the whole number 1, and 884/1000 is the fractional part.
Answer: 1.8840 = 1884/1000
Converting 1.8840 to a fraction results in 1884/1000. 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.