Answer: 1.1680 as a fraction is 1168/1000
Converting the decimal number 1.1680 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 1.1680 can be broken down as:
1.1680 = 1 + 0.168
Here, 1 is the whole number part, and 0.168 is the decimal part.
Focus on converting the decimal part, 0.168, to a fraction. To do this, consider the place value of the decimal:
0.168 =
168
1000
Now, simplify the fraction 168/1000. To do this, find the greatest common divisor (GCD) of 168 and 1000.
Now, divide both the numerator and the denominator by their GCD:
168 ÷ 1
1000 ÷ 1
=
168
1000
So, 0.168 as a fraction is 168/1000
Now that you have 1.1680 = 1 + 0.168, express the entire number as a mixed fraction:
1.1680
= 1 +
168
1000
=
1000
1000
+
168
1000
=
1168
1000
Here, 1000/1000 is the whole number 1, and 168/1000 is the fractional part.
Answer: 1.1680 = 1168/1000
Converting 1.1680 to a fraction results in 1168/1000. 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.