Answer: 1.2630 as a fraction is 631.5/500
Converting the decimal number 1.2630 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 1.2630 can be broken down as:
1.2630 = 1 + 0.263
Here, 1 is the whole number part, and 0.263 is the decimal part.
Focus on converting the decimal part, 0.263, to a fraction. To do this, consider the place value of the decimal:
0.263 =
263
1000
Now, simplify the fraction 263/1000. To do this, find the greatest common divisor (GCD) of 263 and 1000.
Now, divide both the numerator and the denominator by their GCD:
263 ÷ 2
1000 ÷ 2
=
131.5
500
So, 0.263 as a fraction is 131.5/500
Now that you have 1.2630 = 1 + 0.263, express the entire number as a mixed fraction:
1.2630
= 1 +
131.5
500
=
500
500
+
131.5
500
=
631.5
500
Here, 500/500 is the whole number 1, and 131.5/500 is the fractional part.
Answer: 1.2630 = 631.5/500
Converting 1.2630 to a fraction results in 631.5/500. 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.