Answer: 1.1320 as a fraction is 1132/1000
Converting the decimal number 1.1320 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 1.1320 can be broken down as:
1.1320 = 1 + 0.132
Here, 1 is the whole number part, and 0.132 is the decimal part.
Focus on converting the decimal part, 0.132, to a fraction. To do this, consider the place value of the decimal:
0.132 =
132
1000
Now, simplify the fraction 132/1000. To do this, find the greatest common divisor (GCD) of 132 and 1000.
Now, divide both the numerator and the denominator by their GCD:
132 ÷ 1
1000 ÷ 1
=
132
1000
So, 0.132 as a fraction is 132/1000
Now that you have 1.1320 = 1 + 0.132, express the entire number as a mixed fraction:
1.1320
= 1 +
132
1000
=
1000
1000
+
132
1000
=
1132
1000
Here, 1000/1000 is the whole number 1, and 132/1000 is the fractional part.
Answer: 1.1320 = 1132/1000
Converting 1.1320 to a fraction results in 1132/1000. 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.