Answer: 1.2530 as a fraction is 313.25/250
Converting the decimal number 1.2530 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 1.2530 can be broken down as:
1.2530 = 1 + 0.253
Here, 1 is the whole number part, and 0.253 is the decimal part.
Focus on converting the decimal part, 0.253, to a fraction. To do this, consider the place value of the decimal:
0.253 =
253
1000
Now, simplify the fraction 253/1000. To do this, find the greatest common divisor (GCD) of 253 and 1000.
Now, divide both the numerator and the denominator by their GCD:
253 ÷ 4
1000 ÷ 4
=
63.25
250
So, 0.253 as a fraction is 63.25/250
Now that you have 1.2530 = 1 + 0.253, express the entire number as a mixed fraction:
1.2530
= 1 +
63.25
250
=
250
250
+
63.25
250
=
313.25
250
Here, 250/250 is the whole number 1, and 63.25/250 is the fractional part.
Answer: 1.2530 = 313.25/250
Converting 1.2530 to a fraction results in 313.25/250. 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.