Answer: 1.0888 as a fraction is 10888/10000
Converting the decimal number 1.0888 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 1.0888 can be broken down as:
1.0888 = 1 + 0.0888
Here, 1 is the whole number part, and 0.0888 is the decimal part.
Focus on converting the decimal part, 0.0888, to a fraction. To do this, consider the place value of the decimal:
0.0888 =
888
10000
Now, simplify the fraction 888/10000. To do this, find the greatest common divisor (GCD) of 888 and 10000.
Now, divide both the numerator and the denominator by their GCD:
888 ÷ 1
10000 ÷ 1
=
888
10000
So, 0.0888 as a fraction is 888/10000
Now that you have 1.0888 = 1 + 0.0888, express the entire number as a mixed fraction:
1.0888
= 1 +
888
10000
=
10000
10000
+
888
10000
=
10888
10000
Here, 10000/10000 is the whole number 1, and 888/10000 is the fractional part.
Answer: 1.0888 = 10888/10000
Converting 1.0888 to a fraction results in 10888/10000. 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.