Answer: 1.2890 as a fraction is 161.125/125
Converting the decimal number 1.2890 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 1.2890 can be broken down as:
1.2890 = 1 + 0.289
Here, 1 is the whole number part, and 0.289 is the decimal part.
Focus on converting the decimal part, 0.289, to a fraction. To do this, consider the place value of the decimal:
0.289 =
289
1000
Now, simplify the fraction 289/1000. To do this, find the greatest common divisor (GCD) of 289 and 1000.
Now, divide both the numerator and the denominator by their GCD:
289 ÷ 8
1000 ÷ 8
=
36.125
125
So, 0.289 as a fraction is 36.125/125
Now that you have 1.2890 = 1 + 0.289, express the entire number as a mixed fraction:
1.2890
= 1 +
36.125
125
=
125
125
+
36.125
125
=
161.125
125
Here, 125/125 is the whole number 1, and 36.125/125 is the fractional part.
Answer: 1.2890 = 161.125/125
Converting 1.2890 to a fraction results in 161.125/125. 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.