Answer: 1.1480 as a fraction is 1148/1000
Converting the decimal number 1.1480 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 1.1480 can be broken down as:
1.1480 = 1 + 0.148
Here, 1 is the whole number part, and 0.148 is the decimal part.
Focus on converting the decimal part, 0.148, to a fraction. To do this, consider the place value of the decimal:
0.148 =
148
1000
Now, simplify the fraction 148/1000. To do this, find the greatest common divisor (GCD) of 148 and 1000.
Now, divide both the numerator and the denominator by their GCD:
148 ÷ 1
1000 ÷ 1
=
148
1000
So, 0.148 as a fraction is 148/1000
Now that you have 1.1480 = 1 + 0.148, express the entire number as a mixed fraction:
1.1480
= 1 +
148
1000
=
1000
1000
+
148
1000
=
1148
1000
Here, 1000/1000 is the whole number 1, and 148/1000 is the fractional part.
Answer: 1.1480 = 1148/1000
Converting 1.1480 to a fraction results in 1148/1000. 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.