Answer: 1.2910 as a fraction is 129.1/100
Converting the decimal number 1.2910 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 1.2910 can be broken down as:
1.2910 = 1 + 0.291
Here, 1 is the whole number part, and 0.291 is the decimal part.
Focus on converting the decimal part, 0.291, to a fraction. To do this, consider the place value of the decimal:
0.291 =
291
1000
Now, simplify the fraction 291/1000. To do this, find the greatest common divisor (GCD) of 291 and 1000.
Now, divide both the numerator and the denominator by their GCD:
291 ÷ 10
1000 ÷ 10
=
29.1
100
So, 0.291 as a fraction is 29.1/100
Now that you have 1.2910 = 1 + 0.291, express the entire number as a mixed fraction:
1.2910
= 1 +
29.1
100
=
100
100
+
29.1
100
=
129.1
100
Here, 100/100 is the whole number 1, and 29.1/100 is the fractional part.
Answer: 1.2910 = 129.1/100
Converting 1.2910 to a fraction results in 129.1/100. 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.