Answer: 1.0848 as a fraction is 10848/10000
Converting the decimal number 1.0848 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 1.0848 can be broken down as:
1.0848 = 1 + 0.0848
Here, 1 is the whole number part, and 0.0848 is the decimal part.
Focus on converting the decimal part, 0.0848, to a fraction. To do this, consider the place value of the decimal:
0.0848 =
848
10000
Now, simplify the fraction 848/10000. To do this, find the greatest common divisor (GCD) of 848 and 10000.
Now, divide both the numerator and the denominator by their GCD:
848 ÷ 1
10000 ÷ 1
=
848
10000
So, 0.0848 as a fraction is 848/10000
Now that you have 1.0848 = 1 + 0.0848, express the entire number as a mixed fraction:
1.0848
= 1 +
848
10000
=
10000
10000
+
848
10000
=
10848
10000
Here, 10000/10000 is the whole number 1, and 848/10000 is the fractional part.
Answer: 1.0848 = 10848/10000
Converting 1.0848 to a fraction results in 10848/10000. 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.