Answer: 1.8880 as a fraction is 1888/1000
Converting the decimal number 1.8880 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 1.8880 can be broken down as:
1.8880 = 1 + 0.888
Here, 1 is the whole number part, and 0.888 is the decimal part.
Focus on converting the decimal part, 0.888, to a fraction. To do this, consider the place value of the decimal:
0.888 =
888
1000
Now, simplify the fraction 888/1000. To do this, find the greatest common divisor (GCD) of 888 and 1000.
Now, divide both the numerator and the denominator by their GCD:
888 ÷ 1
1000 ÷ 1
=
888
1000
So, 0.888 as a fraction is 888/1000
Now that you have 1.8880 = 1 + 0.888, express the entire number as a mixed fraction:
1.8880
= 1 +
888
1000
=
1000
1000
+
888
1000
=
1888
1000
Here, 1000/1000 is the whole number 1, and 888/1000 is the fractional part.
Answer: 1.8880 = 1888/1000
Converting 1.8880 to a fraction results in 1888/1000. 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.